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Popular >

simplify ln(a)+1/2 ln(b)

Solution

simplify

ln (a) + \frac{1}{2} ln (b)

Solution

ln (a b^{\frac{1}{2}})

Solution steps

ln (a) + \frac{1}{2} ln (b)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} ln (b) = ln (b^{\frac{1}{2}})

= ln (a) + ln (b^{\frac{1}{2}})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (a) + ln (b^{\frac{1}{2}}) = ln (a b^{\frac{1}{2}})

= ln (a b^{\frac{1}{2}})

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Frequently Asked Questions (FAQ)

What is ln(a)+1/2 ln(b) ?
The solution to ln(a)+1/2 ln(b) is ln(ab^{1/2})