Question

What is the value of log subscript 4 baseline 16? 1 2 4 8

Answer 1

$~\log_4 16 \\\\= \log_4 4^2\\\\=2 \log_ 4 4~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=2 \cdot 1~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[ \log_b b =1]\\\\=2$