algebra help!?

Question

How do u find the answers to 5^(x-4)=13

Answer 1

Original equation is 5^{(x – 4)}  =  13

Consider log both sides

(x -4) log5 = log13

xlog5 - 4log5 = log13

xlog5 = 4log5 + log13

x = (4log5 + log13)/log5

x ≈ 5.594.