Question 151484
{{{5^x=25^4}}} Start with the given equation.



{{{5^x=(5^2)^4}}} Rewrite {{{25}}} as {{{5^2}}}



{{{5^x=5^(2*4)}}} Multiply the exponents.



{{{5^x=5^(8)}}} Multiply.



Since the bases are equal, this means that the exponents are equal. So


{{{x=8}}}