Question

Calcule os seguintes logaritmos:
a) $log0,01^{0,001}$
b) $log2^{16} \sqrt{2}$ 

Answer 1

$log0,01^{0,001} = x\\ x = 0,001* log0,01\\ x = 10^{-3} * log10^{-2}\\ x = 10^{-3}*(-2)*1\\ x = -0,002$

$log2^{16}* \sqrt{2} =y\\ log2^{16}*2^{ \frac{1}{2} }=y\\ log2^{16+ \frac{1}{2} }=y\\ log2^{ \frac{33}{2} }=y\\\\ y= \frac{33}{2} *log2\\ y= 16,5*log2$