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3 years ago

Solve the exponential equation for x 625=5^(7x-3)

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

$625 = 5^{7x-3} \\$

Create equivalent bases:

$625 = 5^4\\5^4 = 5^{7x-3}$

Since the bases are equal, then exponent1 = exponent2 in order for this equation to be true.

$7x - 3 = 4\\7x = 7\\x = 1$

Check the answer:

$5^{7(1) - 3}\\5^{7 - 3}\\5^4\\625 = 625$

Our answer is correct,

x = 1

trapecia [35]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

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hammer [34]

Answer:

Looks good to me! :)

Step-by-step explanation: Hope you have a great rest of your day!

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3 years ago

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

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3 years ago

I’ll love you forever if you help me with this ASAP PLEASE

Alexus [3.1K]

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

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2 years ago

Read 2 more answers

Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 y

julsineya [31]

I think it is A- 1:3 :)

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2 years ago

The width of a field is 3 miles less than the length. The square mileage of the plot is 18 miles squared. Find the dimensions.

kherson [118]

LW = A
L(L - 3) = 18
L^2 - 3L - 18 = 0
(L - 6) (L + 3) = 0
L could be 6 or -3 ( -3 cannot be a length of a side of a rectangle since it’s negative.)
So L = 6 and W= 3

6 0

2 years ago