Writing each expression as a single logarithm?

Question

0

526

1

3 log\({_2}\)6 - 2

The answer is log\({_2}\)54, how should I get this answer?

Guest Jan 28, 2020

geno3141 · Answer 1 · 2020-01-28T02:36:22

3log₂6 = log₂6³ = log₂216

2 = log₂4

So: 3log₂6 - 2 = log₂216 - log₂4 = log₂(216/4) = log₂54