SOLUTION: OK so i need to know how one would go about answering {{{ 3^x=5^(x+2) }}}. i've tried going {{{ log (3,3^x)= log (3,5^(x+2))}}} simplified to {{{x=log (3,5^(x+2))}}} then i did {

SOLUTION: OK so i need to know how one would go about answering {{{ 3^x=5^(x+2) }}}. i've tried going {{{ log (3,3^x)= log (3,5^(x+2))}}} simplified to {{{x=log (3,5^(x+2))}}} then i did {

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Question 162923: OK so i need to know how one would go about answering .
i've tried going simplified to then i did simplified to but then i'm stuck
Answer by Anthea Lawn(22) (Show Source): You can put this solution on YOUR website!
You are already on the right lines :
Take the logs of both sides :
x log 3 = (x + 2) log 5
x log 3 = x log 5 + 2 log 5
x(log 3 - log 5) = 2 log 5
x = 2 log 5/(log3 - log 5) = -6.301

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