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Popular >

expand ln(sqrt(ab))

Solution

expand

ln (ab)

Solution

\frac{1}{2} ln (ab)

Solution steps

ln (ab)

Rewrite as

= ln ((ab)^{\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 (ab)

Popular Examples

expand 2/((x+1)^2)expand

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

expand ln(sqrt((x^2)/(y^3)))expand

ln (\frac{x ^{2}}{y ^{3}})

expand 1/2 (e^x-e^{-x})expand

\frac{1}{2} (e^{x} - e^{- x})

expand (y^2+2/y)^{21}expand

(y^{2} + \frac{2}{y})^{21}

expand (x+1/x)^6 expand

(x + \frac{1}{x})^{6}

Frequently Asked Questions (FAQ)

What is expand ln(sqrt(ab)) ?
The solution to expand ln(sqrt(ab)) is 1/2 ln(ab)