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Popular >

expand ln(sqrt(x^3+2))

Solution

expand

ln (x^{3} + 2)

Solution

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

Solution steps

ln (x^{3} + 2)

Rewrite as

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

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

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Frequently Asked Questions (FAQ)

What is expand ln(sqrt(x^3+2)) ?
The solution to expand ln(sqrt(x^3+2)) is 1/2 ln(x^3+2)