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Popular >

simplify ln(4)+1/2 ln(9)

Solution

simplify

ln (4) + \frac{1}{2} ln (9)

Solution

ln (12)

+1

Solution steps

ln (4) + \frac{1}{2} ln (9)

Apply log rule:

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

\frac{1}{2} ln (9) = ln (9^{\frac{1}{2}})

= ln (4) + ln (9^{\frac{1}{2}})

Apply log rule:

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

ln (4) + ln (9^{\frac{1}{2}}) = ln (4 \cdot 9^{\frac{1}{2}})

= ln (4 \cdot 9^{\frac{1}{2}})

4 \cdot 9^{\frac{1}{2}} = 12

= ln (12)

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Frequently Asked Questions (FAQ)

What is ln(4)+1/2 ln(9) ?
The solution to ln(4)+1/2 ln(9) is ln(12)