$3^{2\log_35}$
How do I simplify this? This is what I have done so far:
$2\log_35=\log_35^2=\log_3(25)$
$3^{\log_3(25)}$
What do I do from here? And the answer is one of these mixed solutions:
$0$
$-2$
$-\frac\pi4$
$\frac1{x+2}$
$\pm \frac4 {25}$
$25$
$30°$
$2$
$3$
$5$
$\pi$
$\frac\pi3$
$(-\infty, 2)$
$4(x+1)^2+3$
$-\frac{\sqrt2}2$
$-\frac{\sqrt3}2$
$\frac{\sqrt2}2$
$\displaystyle m\log a=\log a^m$ when both the logarithms remain defined
$$\displaystyle\implies3^{(2\log_35)}=3^{\log_3(5^2)}$$
Now $\displaystyle a^{\log_ab}=b$ when the logarithm remains defined