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Popular >

simplify log_{\sqrt[3]{4}}(2)

Solution

simplify

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

Factor

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

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{2^{\frac{2}{3}}} (2) = \frac{1}{\frac{2}{3}} lo g_{2} (2)

= \frac{1}{\frac{2}{3}} lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= \frac{1}{\frac{2}{3}} \cdot 1

\frac{1}{\frac{2}{3}} \cdot 1 = \frac{3}{2}

= \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is log_{\sqrt[3]{4}}(2) ?
The solution to log_{\sqrt[3]{4}}(2) is 3/2