PLZ HELP 70 POINTS!!!!! Solve the following exponential equation for x. Show your work step by step. 5^(x+7) = (1/62

Question

PLZ HELP 70 POINTS!!!!!

Solve the following exponential equation for x. Show your work step by step.

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

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    0
    2021-09-06T12:28:09+00:00

    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 :/

    0
    2021-09-06T12:28:42+00:00

    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.

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