$log_{(.001)} (100)$ = ?
Let $log_{(.001)} (100)$ =p
$(.001)^p$=100
$\left(\dfrac{1}{1000}\right)^p$=100
$\left(\dfrac{1}{10^3}\right)^p$=$10^2$
$[\left(10\right)^{-3}]^p$=$10^2$
$\left(10\right)^{-3p}$=$10^2$
-3p=2
p=$\dfrac{-2}{3}$
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$log_{(.001)} (100)$ = ? |
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