Plz 70 ! solve the following exponential equation for x. show your work step by step. 5^(x+7) = (1/625)^(2x-13)

5^(x+7)=(1/625)^(2x-13)

We move all terms to the left:

5^(x+7)-((1/625)^(2x-13))=0

Domain of the equation: 625)^(2x-13))!=0

x∈R

We add all the numbers together, and all the variables

5^(x+7)-((+1/625)^(2x-13))=0

We multiply all the terms by the denominator

(5^(x+7))*625)^(2x+1-13))-((=0

We add all the numbers together, and all the variables

(5^(x+7))*625)^(2x-12))-((=0

We add all the numbers together, and all the variables

(5^(x+7))*625)^(2x=0

not sure if this is right :/

Hey there! the answer to this equation is  

x=1/3125

Explanation

You move all the terms to the left:

5^x-(1/625)^(2x-13)=0

Then add all the numbers altogether, and the variables too

5^x-(+1/625)^(2x-13)=0

Now get rid of the parentheses

5^x-1/625^2x-13=0

Multiply all of them by the denominator

5^x*625-1 .2x-13=0

Finally , move all terms  to the left, and all other terms to the right

This should be your final answer

3125x=1

Hope this helped you and if im wrong, correct me.

yes

step-by-step explanation: