Question

Find the value of log₄ 64.

Answer 1

log₄ 64

We know that 64 = 4³,

So, log₄ 64 = log₄ 4³

Using the rule log a^m = m log a,

log₄ 64 = 3 log₄ 4

Since log₄ 4 = 1,

log₄ 64 = 3 × 1

log₄ 64 = 3