expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x

Answers

Answer 1

Step-by-step explanation:

log (√1000000x)

Rewrite √1000000x as (1000000x)1/2.

expand long ((1000000x)1/2) by moving 1/2

oby moving logarithm.

1/2 longth (1000000x)

Rewrite

log

(1000000x) as log(1000000)+log(x).

1/2(log(1000000)+log(x))

Logarithm base 10 of 1000000 is 6.

1/2(6+log(x))

Apply the distributive property.

1/2.6+1/2 log(x)

Cancel the common factor of 2.

3+1/2 long(x)

Combine 1/2 and log(x)

3+ long(x)/2

Answer 2

Step-by-step explanation:

See the steps below:

[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]


Related Questions

(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 1+1?
I really need this answer i dont know it

Answers

Answer:

2

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:

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]

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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:

answer dis please

Aiko3han owo

Answers

Answer:

b

Step-by-step explanation:

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

Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph

I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?

Answers

Answer:

Step-by-step explanation:

Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

3095.6 ft³

Step-by-step explanation:

Volume cone = 1/3(πr²h)

                      = 1/3(π(13.9)²(15.3))

                      = 1/3(π(193.21)(15.3))

                      = 1/3(2956.113π)

                      = 985.371π ≈ 3095.6 ft³

-Chetan K

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

6. (4. 1) and (1, 4) are on the line

Answers

Answer: This is used by

Step-by-step explanation:

Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate

Pick 1 for each blank PLS HURRY!!!!

Answers

The first to are addition property of equality the third one is division property of equality

Find the x-intercept of y=1/2x-4

Answers

the x intercept is 8

Answer:

X=1/2

Step-by-step explanation:

Y=mx+b

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

You would multiply 25 x 6 and then add 70. So the answer is 220

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?)

Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.

Answers

Detail: 37









Answer: 69


Gummi


Blick: 55

FOR A BRAINLIST PLS HURRY

Answers

Answer:

y = x

Step-by-step explanation:

line has a slope 1 and passes through the origin . So the equation is y = x

B. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.

Answers

Answer:

Step-by-step explanation:

help me pleassseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

it  is aas triangle

A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.

Answers

Answer:

24 adults

Step-by-step explanation:

because it's just subtract 212-188=24

I think

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

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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!

g (r)=-5r+13
g(3) Evaluate Functions

Answers

Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …

Step-by-step explanation: sorry if this does not helps please give me brainly

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

In the equation y=14x what is the constant of proportionality.

Answers

14

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.

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

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

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

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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