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Popular >

simplify log_{2/3}(81/16)

Solution

simplify

lo g_{\frac{2}{3}} (\frac{81}{16})

Solution

- 4

Solution steps

lo g_{\frac{2}{3}} (\frac{81}{16})

\frac{81}{16} = (\frac{2}{3})^{- 4}

= lo g_{\frac{2}{3}} ((\frac{2}{3})^{- 4})

Apply log rule:

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

= - 4

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Frequently Asked Questions (FAQ)

What is log_{2/3}(81/16) ?
The solution to log_{2/3}(81/16) is -4