Question

Me ajudem: Log de 100 na base 0,1

Answer 1

log(0,1) 100 =
log(0,1) 10² =
log(0,1) 1/10-² =
log(0,1) 0,1-² =
-2 (resp)

Answer 2

$log _{0,1}100=x\\\\ log _{ \frac{1}{10} }100=x\\\\ ( \frac{1}{10}) ^{x}=100\\\\ (10 ^{-1}) ^{x}=10 ^{2}\\\\ \not10 ^{-x}=\not10 ^{2}\\\\ -x=2~~~*(-1)\\ \\ \boxed{x=-2}$

Espero ter ajudado e tenha ótimos estudos ;)