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Popular >

simplify log_{1/3}(1/81)

Solution

simplify

lo g_{\frac{1}{3}} (\frac{1}{81})

Solution

4

Solution steps

lo g_{\frac{1}{3}} (\frac{1}{81})

Factor the number:

\frac{1}{81} = (\frac{1}{3})^{4}

= lo g_{\frac{1}{3}} ((\frac{1}{3})^{4})

Apply log rule:

lo g_{a} (a^{b}) = b

= 4

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Frequently Asked Questions (FAQ)

What is log_{1/3}(1/81) ?
The solution to log_{1/3}(1/81) is 4