Me ajuda nesses 3 exercícios de logaritmos que não conseguir fazer? b) [tex] Log_{ 5} (0,000064)[.... Pergunta de ideia deGabrielavitoria

October 2020 1 130 Report

Me ajuda nesses 3 exercícios de logaritmos que não conseguir fazer?

b) [tex] Log_{ 5} (0,000064)[/tex]

g) [tex] Log_{9} (3 \sqrt{3} )[/tex]

h) [tex] Log_{2 } 0,25[/tex]

Lista de comentários

korvo

Verified answer

$a)log _{5}0,000064)=x\\\\
5 ^{x}=0,000064\\\\
5 ^{x}= \frac{1}{15.625}\\\\
5 ^{x}= \frac{1}{5 ^{6} }\\\\
\not5 ^{x}=\not5 ^{-6}\\\\
\boxed{x=-6}$

$b)log _{9}(3 \sqrt{3})=x\\\\
9 ^{x}=(3 \sqrt{3})\\\\
(3 ^{2}) ^{x}=( \sqrt{9*3})\\\\
3 ^{2x}= (\sqrt{3 ^{2}* 3 ^{1} })\\\\
3 ^{2x}=( \sqrt[2]{3 ^{3} })\\\\
\not3 ^{2x}=\not3 ^{ \frac{3}{2} }\\\\
2x= \frac{3}{2}\\\\
\boxed{x= \frac{3}{4}}$

$log _{2}0,25=x\\\\
2 ^{x}=0,25\\\\
2 ^{x}= \frac{1}{4}\\\\
\not2 ^{x}=\not2 ^{-2} \\\\
\boxed{x=-2}$

Espero ter ajudado e tenha ótimos estudos ;D

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