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Popular >

simplify ln(sqrt(|x|))

Solution

simplify

ln (∣ x ∣)

Solution

\frac{1}{2} ln ∣ x ∣

Solution steps

ln (∣ x ∣)

Rewrite as

= ln (∣ x ∣^{\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 ∣

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Frequently Asked Questions (FAQ)

What is ln(sqrt(|x|)) ?
The solution to ln(sqrt(|x|)) is 1/2 ln|x|