Question

$log_{25}( \frac{1}{125} )$
respondam p mim

Answer 1

Bom dia

veja:

$log_{25}{( \frac{1}{125} )$

iguala a x e aplica a definição de logaritimo

$log_{25}{( \frac{1}{125} )\;=\;x$

$25^x \;=\;( \frac{1}{125} )$

$(5^2)^x \;=\; \frac{1}{5^3}$

$5^2^x\;=\;5^-^3$

cancelamos as bases

$2x\;=\;-\;3$

$x\;=\; \frac{-\;3}{2}$

$Bons \;estudos.$