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Popular >

expand ln(sqrt(x/y))

Solution

expand

ln (\frac{x}{y})

Solution

\frac{1}{2} ln (\frac{x}{y})

Solution steps

ln (\frac{x}{y})

Rewrite as

= ln ((\frac{x}{y})^{\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 (\frac{x}{y})

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Frequently Asked Questions (FAQ)

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