Question

log de 32/243 na base 2/3

Answer 1

Explicação passo-a-passo:

$\sf log_{\frac{2}{3}}~\dfrac{32}{243}=x$

$\sf \Big(\dfrac{2}{3}\Big)^x=\dfrac{32}{243}$

$\sf \Big(\dfrac{2}{3}\Big)^x=\Big(\dfrac{2}{3}\Big)^5$

Igualando os expoentes:

$\sf \red{x=5}$

Answer 2

Resposta:

log

3

2

243

32

=x

\sf \Big(\dfrac{2}{3}\Big)^x=\dfrac{32}{243}(

3

2

)

x

=

243

32

\sf \Big(\dfrac{2}{3}\Big)^x=\Big(\dfrac{2}{3}\Big)^5(

3

2

)

x

=(

3

2

)

5

Igualando os expoentes:

\sf \red{x=5}x=5