How do you evalute ${log}_{5} (\frac{1}{25})$ $log_5 (1/25)$ ?

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How do you evalute ${log}_{5} (\frac{1}{25})$ $log_5 (1/25)$ ?

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Answer 1 · 2015-12-10T13:01:09

$\times - 2$ $color(white)(xx)-2$

Explanation:

$\times x {log}_{5} (\frac{1}{25}) = {log}_{5} (\frac{1}{5^{2}})$ $color(white)(xxx)log_5(1/25)=log_5(1/5^2)$
$\times \times \times \times \times = {log}_{5} (5^{- 2})$ $color(white)(xxxxxxxxxx)=log_5(5^-2)$
$\times \times \times \times \times = - 2 \cdot {log}_{5} 5$ $color(white)(xxxxxxxxxx)=-2*log_5 5$
$\times \times \times \times \times = - 2$ $color(white)(xxxxxxxxxx)=-2$

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How do you evalute ${log}_{5} (\frac{1}{25})$ $log_5 (1/25)$ ?

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