Question

Log de 1 sobre 5 na base 125

Answer 1

Bom dia Leandro!

Solução!

$log_{125} \frac{1}{5}\\\\\\\\ log_{125} \frac{1}{5}=x\\\\\\\\ (125)^{x}= \dfrac{1}{5} \\\\\\ (5^{3} )^{x}= 5^{-1} \\\\\\ 3x=-1\\\\\\ \boxed{x=- \dfrac{1}{3}}$

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Bons estudos!

Answer 2

log      1/5
     125
================
      x         -1
125    =  5
==================
 3x      -1
5    =  5
===========
cancela o 5
3x = - 1 
  x = - 1/3