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Popular >

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

Solution

simplify

ln (1 + x^{2})

Solution

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

Solution steps

ln (1 + x^{2})

Rewrite as

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

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Frequently Asked Questions (FAQ)

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