How to solve an equation with the variable as the exponent, 3^(x/2) = 315

The video tutorial explains how to solve the equation X / 2 = 315 by converting it from exponential to logarithmic form. It demonstrates solving for X using the change of base formula and discusses the use of logarithms to eliminate bases. The tutorial concludes with a final calculation to find the value of X, emphasizing the use of base 10 logarithms for calculators that do not support other bases.

Why is it necessary to take the log of both sides when solving the equation?

What final value did the teacher calculate for X, and how was it derived?