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Popular >

simplify ln(2x)*x^{-3}

Solution

simplify

ln (2 x) \cdot x^{- 3}

Solution

\frac{ln ( 2 x )}{x ^{3}}

Solution steps

ln (2 x) x^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{3}} ln (2 x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ln ( 2 x )}{x ^{3}}

Multiply:

1 \cdot ln (2 x) = ln (2 x)

= \frac{ln ( 2 x )}{x ^{3}}

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Frequently Asked Questions (FAQ)

What is ln(2x)*x^{-3} ?
The solution to ln(2x)*x^{-3} is (ln(2x))/(x^3)