Asked by LOGS

Find the exact solution and a two-decimal-place approximation for it by using the Laws of Logarithms and the Change of Base Formula.
4^(5 − x) = 6
(a) using the Laws of Logarithms
exact solution
approximate solution

(b) using the Change of Base Formula
exact solution
approximate solution
Answered by oobleck
4^(5 − x) = 6
(5-x) log4 = log6
5-x = log6/log4
x = 5 - log6/log4

5-x = log<sub><sub>4</sub></sub>6
x = 5 - log<sub><sub>4</sub></sub>6