5^2x = 3(2^x) find x please show steps
Answers
Step-by-step explanation:
the answer is in the image above
Answer:
Step-by-step explanation:
There is a possible issue in your question...
As written it can be interpreted in two ways
like this #1 :
[tex]5^{2x} = 3(2^x)[/tex]
or like this #2 :
[tex]5^2x = 3(2^x)[/tex]
VERSION #1
divide by the 2^x
[tex]\frac{5^{2x} }{2^x} = 3[/tex]
to be able to get to the exponent you have to take "logs"
... look up the rules for logs ... log(ab) = log (a)+log(b) , log(a/b) = log(a)-log(b) etc.
if you take the logs of both sides the using the quotient rule and the exponent rule ....result the result is...
[tex]5^{2x}=3\left(2^x\right)\quad :\quad x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=0.43496\dots \right)[/tex]
VERSION #2
[tex]5^2x\:=\:3\left(2^x\right)[/tex]
25 x = 3(2^x)
[tex]\frac{25}{3} = \frac{2^{x} }{x}[/tex]
This gets really nasty, and I assume that it is not the original problem..
[tex]x=-\frac{\text{W}_{-1}\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)},\:x=-\frac{\text{W}_0\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)}\quad \mathrm{ }:\quad x=5.52482 ,\:x=0.13144[/tex]
Related Questions
Subtract: 2 -(-6)
I don’t get it at all :/
Answers
Answer: 2 -(-6) = 2 + 6 = 8
* (+) - (-) = (+)
If helpful, brainliest please !
Answer and Step-by-step explanation:
If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.
Two minus negative 6. (2 - (-6))
We know from math that when two negative numbers multiply together, they result in a positive.
We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.
-1 * -6 = +6.
Now we have the expression 2 + 6.
Add them together.
2 + 6 =
8
8 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
11(5) - 11(4) I really need helpon this
Answers
[tex]Hello[/tex] [tex]There![/tex]
The answer is....
[tex]11.[/tex]
Hopefully, this helps you!
[tex]AnimeVines[/tex]
Answer:
The answer is 11.
Step-by-step explanation:
(11*5)-(11*4)=???
11*5=55
11*4=44
55-44=11.
A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.
Answers
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
What does the term "cube root" mean?
Answers
According to the diagram above how long is the unknown piece
Answers
Answer:
17 mm
Step-by-step explanation:
11+? = 28
is the same as
28-?=11
The answer is 17mm.
Please mark me as brainliest if that helped. Thank you! ;)
find product of :(2x-y)(2x+3y).
Answers
Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
Answers
Which graph shows the function f(x) = x with an input of f(x – 3)?
Answers
Solve 15x squared + 40x
Answers
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
[tex]15x^{2} = 225x[/tex]{2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
[tex]225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
What is the value of x in the equation 0.7x – 1.4 = -3.5?
O -7
Ο Ο Ο Ο
3
7
Answers
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 to both sides:
x=-3
3. Find the volume of this rectangular prism in cm³
Answers
what is n (AUB) if (A)=25,n(B) = 10 and BCA
Answers
Answer:
35
Step-by-step explanation:
It is in the above photo .
2 17× 415 find this answer
Answers
Answer:
[tex]217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055[/tex]
it's was helpful to you ❣️❣️
Hope this was helpful, please like :))
can anyone help me solve this function please?
Answers
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams
Answers
Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.
Answers
Answer:
yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get
85571.5 with decimal include
These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?
Answers
Answer:
first question
mean = 5.11
median = 6
mean = sum of the terms
number of terms
= 271
53
= 5.11
median is the 27th (arrange lowest to highest number)
conclusion, the median is higher than mean, the answer is B.
sec question
a is the answer
third question
a is the answer
last question
mean = 60838
median = 60000
the answer is B
SOMEONE HELP ME PLEASE
Answers
Answer: D,E,F
Step-by-step explanation:
collinear means points on the same line
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
Answers
Hope it helpss
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
What is $4.32 • 20= ???
I have never seen • in a math question before and I looked it up and it didn’t tell me anything. So can someone help me plzzz
Answers
find the value proportion :x : 35:98:60
Answers
Answer:
x/35=98/60
x=7/6
The value of x is 7/6
ASAP
Write the following phrase as a variable expression. Use x to represent "a number".
the sum of a number and one
The translation is ____
Answers
How do you make these diagrams??
Answers
Answer:
a. ▲▲△
b. ▲▲▲▲▲▲▲▲▲△△△△△△△
c.▲▲▲▲▲▲ △△△
cos(-x) = -cosx for all values of x.
True or false?
Answers
MARKING BRAINLIEST !! using the distance formula falculate the perimeter of the triangle below
a. 27.9 units
b. 24.3 units
c. 25.7 units
d. 28.2 units
Answers
Answer:
a
Step-by-step explanation:
i didn't use the distance formula, instead i used the pythagrean theorum. i counted the units for the legs, and made three smaller triangle and solved them to find the lengths of the hypotenuse and the added the three of those together to find the perimiter of the original triangle
Rearrange the formulae to make x the subject:
ay/x - dx= wx
Thanks in advance
Answers
Answer:
[tex] \frac{ay}{x} - dx = wx [/tex]
multiply x through out:
[tex]ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay[/tex]
factorise out x²:
[tex] {x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d} [/tex]
take square root on both sides:
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} } [/tex]
Step-by-step explanation:
the biggest obstacle is usually a division by x.
so, let's get rid of it by multiplying both sides of the equation by x
ay - dx² = wx²
then
ay = wx² + dx² = (w+d)x²
y = (w+d)x²/a = x² × (w+d)/a
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answers
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
please help
answer choices are:
A. (3, -3)
B. (1,-6)
C. (8,-6)
D. (-1, 3)
Answers
Answer:
C ( 8,-6)
Because you move the points according to the rule.
Describe a relationship between two sets that you can describe mathematically
Answers
Answer:
LOVE and CARING for each other
Step-by-step explanation:
(x + 3)(x-8)
Multiply and simplify
Answers
[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]
Step-by-step explanation:
Multiple:
=x^2-24+3x-8x
=x^2-24-5x
=x^2-5x-24
Simplify:
x^2-5x-24=0
(x-8) (x+3) =0
x= 8 x= -3
