log de 4 na base 1/4.... Pergunta de ideia deraquelmacedo17

October 2021 1 7 Report

log de 4 na base 1/4

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Niiya

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

Aplicando a definição de logaritmos: $\boxed{base^{logaritmo}=logaritmando}$

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

Bases iguais, iguale os expoentes:

$x=-1~~~~~~\therefore~~~~~~\boxed{\boxed{log_{(\frac{1}{4})}4=-1}}$

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