How do you evaluate ${log}_{3} (\frac{1}{27})$ $log_3(1/27)$ ?

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How do you evaluate ${log}_{3} (\frac{1}{27})$ $log_3(1/27)$ ?

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Answer 1 · 2015-12-19T23:09:21

$\times - 3$ $color(white)(xx)-3$

Explanation:

$\times {log}_{3} (\frac{1}{27}) = {log}_{3} (\frac{1}{3^{3}})$ $color(white)(xx)log_3 (1/27)=log_3 (1/3^3)$
$\times \times \times \times x = {log}_{3} 3^{- 3}$ $color(white)(xxxxxxxxx)=log_3 3^-3$
$\times \times \times \times x = - 3 \times {log}_{3} 3$ $color(white)(xxxxxxxxx)=-3xxlog_3 3$
(The logarithm of the power of a number rule)

$\times \times \times \times x = - 3 \times 1$ $color(white)(xxxxxxxxx)=-3xx1$
$\times \times \times \times x = - 3$ $color(white)(xxxxxxxxx)=-3$

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How do you evaluate ${log}_{3} (\frac{1}{27})$ $log_3(1/27)$ ?

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