Solve for x to the nearest hundreth for an algebraic solution. 2^(x-2)=54

Answer 1

2^(x-2)=54
take logarithm of both sides
(x - 2)log 2 = log 54
x log 2 - 2 log 2 = log 54
x log 2 = log 54 + 2 log 2
x = (log 54 + 2 log 2)/log 2

find above logs
x = 7.75 approx