Question 1151694
<br>
{{{25^(log(5,3x^2))}}}<br>
The problem involves logs base 5; 25 is a power of 5, so write 25 as a power of 5.<br>
{{{(5^2)^(log(5,3x^2))}}}<br>
Use the exponent rule {{{(a^b)^c = a^(bc) = (a^c)^b}}}...
{{{5^((log(5,3x^2)))^2}}}<br>
Use the rule {{{a^log(a,b) = b}}}...
{{{(3x^2)^2}}}<br>
And now it's just basic algebra<br>
{{{9x^4}}}<br>
Your answer is right....<br>