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Popular >

simplify ln(sqrt(4-x^2))

Solution

simplify

ln (4 - x^{2})

Solution

\frac{1}{2} ln (4 - x^{2})

Solution steps

ln (4 - x^{2})

Rewrite as

= ln ((4 - 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} + 4)

Popular Examples

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\frac{80 w ^{3}}{9}

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Frequently Asked Questions (FAQ)

What is ln(sqrt(4-x^2)) ?
The solution to ln(sqrt(4-x^2)) is 1/2 ln(4-x^2)