Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2


Related Questions

Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?

Answers

Answer:

  $45.02

Step-by-step explanation:

The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:

  $225.10 × 20% = $45.02

Harry will leave $45.02 as a tip.

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

17

Step-by-step explanation:

Answer:

The hypotenuse is 17.

Step-by-step explanation:

a^2+b^2=c^2.

Let's plug in a and b.

15^2 + 8^2 = c^2

Simply.

225+64=c^2

Add.

289=c^2.

Square 289 and c^2 to cancel out the ^2.

17=c

The hypotenuse is 17.

Hope I helped. :)

PLS HELP ME IMMA CRY ONGG GGHGHJH

Answers

Answer:

127

Step-by-step explanation:

We started at 7

We keep going up 3

multiply

[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term

Answer:

I believe its 127?

Step-by-step explanation:

I solved this by 7+3x40 and that was my answer.

Please tell me if its wrong, if so tell me what the correct one is. :)

Have a good day!

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ6

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot

Answers

Answer:

Option A

Step-by-step explanation:

Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)

Step by Step please​

Answers

Answer:

35.113 km per hour is the correct answer

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Answer:

The slope of this line is y=3x-3

Step-by-step explanation:

(I'm not sure but is the line on the point(1,0)? or is it past that point?)

11 times 11 in binary . Help i need it today!

Answers

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

0b1111001. this is the answer in binary, i hope it helps :)


2. Find the value of x. Give your answer in
simplest radical form.
20
16

Answers

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

PLEASE HELP ME ASAP
NO LINKS

Answers

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Taryn is measuring ribbon to make decorations for a fall party. She needs

32 feet of ribbon. She has 12 &

1/3 feet of ribbon.

How many more feet of

ribbon does she need?

Answers

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?

Answers

Answer:

The answer I'd 28464835383637533

Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.

Answers

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].

Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].

Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

Learn more here:

https://brainly.com/question/19916581

4d=12 solve for the variable

Answers

Answer; d=3
Let me know if you need an explanation!

Professor Baird wants to mix a solution
containing 10% acid with one containing 15%
acid to obtain a 20-ounce solution containing
12% acid. How many ounces of the 10% solution
should the professor use?

Answers

Answer:

The answer is 12 ounces :)

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

What is the perimeter of the triangle?

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

answer dis please

Aiko3han owo

Answers

Answer:

b

Step-by-step explanation:

3g + h = 1
-2g + h= 10
?​

Answers

Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

(Picture provided)

Helppppppp plsss

Answers

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

What is the slope for this table?

Answers

Do u have a graph?
Sheeeeeeeeeeeeeeeeeeeeeeeesh

what is a two way frequency table

Answers

Answer:

A two-way table is a way to display frequencies for two different categories gathered from a one group of people.

Step-by-step explanation:

Answer:

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Step-by-step explanation:

Point C has a _____ abscissa and a _____ ordinate.



positive, negative
positive, positive
negative, positive
negative, negative

Answers

Answer:

i think its b but im not that sure

Step-by-step explanation:

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

Solve for value of y

Answers

(9y - 6) + 51 = 90 (right angle)

9y - 6 + 51 = 90

9y - 6 = 90 - 51

9y - 6 = 39

9y = 39 + 6

9y = 45

y = 45/9

y = 5

_______

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Step-by-step explanation:

relax ! don't panic. just breathe deeply and then focus again.

a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.

this factor is given here as 3/2.

this is called common ratio, because of that building rule the ratio of 2 consecutive terms is

an/an-1 = factor = 3/2

the first term is 3.

so,

a1 = 3

a2 = a1×3/2 = 3×3/2 = 9/2

a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4

we see

an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)

and therefore

a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125

Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60

Answers

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
meters.

Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

Find the area of a circle with a circumference of
units.

Answers

[tex]A = \frac{ {C}^{2} }{4\pi} \\ [/tex]

This is the formula for circumference of circle

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