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Popular >

simplify ln(sqrt(x^2+1))

Solution

simplify

ln (x^{2} + 1)

Solution

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

Solution steps

ln (x^{2} + 1)

Rewrite as

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

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Frequently Asked Questions (FAQ)

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