I need an nth root equation solved that has probably never been asked before

Question

This equation is on my retake assignment for one of my tests: 3(x - 4)^4 = 1875

It needs to be solved using nth roots. The problem is, I have not seen a single example of how to solve an equation with nth roots when there is a number before X when X is in parentheses and it has stuff in said parentheses.

Answer 1

3 (x-4)^4 = 1875

(x-4)^4 = 625

Find the 4th root of 625.

a^4 = 625

4 log a = log 625

log a = (log 625) / 4 = 0.69897

a = 5

5 = x - 4, so x = 9