Question

What is the value of log4(1/64)?

Answer 1

log4 (1/64) = x

Rewrite in exponential form:

logb(x)= y

b^y = x

4^x = 1/64

Rewrite as equations with equal base

(2^2)^x = 2^-6

2^2x = 2^-6

Equal exponents:

2x = -6

Solve for x

x = -6/2

x = -3