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Popular >

simplify log_{3/2}(27/8)

Solution

simplify

lo g_{\frac{3}{2}} (\frac{27}{8})

Solution

3

Solution steps

lo g_{\frac{3}{2}} (\frac{27}{8})

Factor the number:

\frac{27}{8} = (\frac{3}{2})^{3}

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

Apply log rule:

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

= 3

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Frequently Asked Questions (FAQ)

What is log_{3/2}(27/8) ?
The solution to log_{3/2}(27/8) is 3