Question

log4(1/32)

Answer 1

\[\log_4\left(\frac{1}{32}\right) = \log_4\left(\frac{1}{2^5}\right) = \log_4\left(\frac{1}{4^2 \cdot 4^{1/2}}\right) = \log_4\left(4^{-5/2}\right) = -5/2.\]