Question

log base 16(32)

Answer 1

use the fact that if:\[log_a(x)=b\]then\[x=a^b\]

Answer 2

express both 16 and 32 as powers of 2 and should be able to get the answer

Answer 3

see, 16=2^4 and 32=2^5 and due to the rule that says:
\[\log_{a^n} (b^m)\]=(m/n)*\[\log_{a} (b)\]
you can find the answer