which equation is equivalent to $log_x 36 = 2$?\n$2^x = 36$\n$x^2 = 36$\n$36^x = 2$\n$x^2 = 36^2$

Explanation:

Step1: Recall log - exponential conversion

The logarithmic equation $\log_{a}b = c$ is equivalent to the exponential equation $a^{c}=b$.

Step2: Apply the conversion

For the equation $\log_{x}36 = 2$, here $a = x$, $b = 36$ and $c = 2$. So the equivalent exponential equation is $x^{2}=36$.

Answer:

$x^{2}=36$ (corresponding to the second - option in the multiple - choice list)