Question

O numero cujo logaritmo em base 3 vale -2 ;? A base na qual o logaritmo de 1/4 vale -1 .?

Answer 1

$log_{a} b=x -------\ \textgreater \ a^x=b$

$log_{3} x=-2 \\ \\ 3^{-2} =x \\ \\ \frac{1}{3^2} =x \\ \\ 9x=1 \\ \\ x= \frac{1}{9}$

$log_{x} ( \frac{1}{4})=-1 \\ \\ x^{-1} = \frac{1}{4} \\ \\ \frac{1}{x} =\frac{1}{4} \\ \\ x=4$