Question

calcule
$log_{ \sqrt{3} } \: 1 = m$
$log_{8} \: 16 = e$

Answer 1

$log_{ \sqrt{3} }1 = m \\ \\ \sqrt{3}^{m} = 1 \\ \\ \sqrt{3}^{m} = \sqrt{3}^{0} \\ \\ m = 0 \\ \\ \\ \\ log_{8}16 = e \\ \\ 8^{e}=16 \\ \\ (2^{3})^{e} = 2^{4} \\ \\ 2^{3e} = 2^{4} \\ \\ 3e = 4 \\ \\ e = \frac{4}{3}$