Question 1012160
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Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents 
25^x^=^5=625^x^-^2 
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{{{25^(x-5)}}} = {{{625^(x-2)}}}.   (1)

Notice that 625 = {{{25^2}}}.

Therefore, (1) become 

{{{25^(x-5)}}} = {{{25^(2(x-2))}}}.

Hence, 

x-5 = 2*(x-2).

Solve it yourself. It is easy.
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