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Popular >

simplify ln(4/(sqrt(3)))

Solution

simplify

ln (\frac{4}{3})

Solution

2 ln (2) - \frac{1}{2} ln (3)

+1

Decimal Notation

0.83698 \dots

Solution steps

ln (\frac{4}{3})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{4}{3}) = ln (4) - ln (3)

= ln (4) - ln (3)

ln (3) = \frac{1}{2} ln (3)

= ln (4) - \frac{1}{2} ln (3)

ln (4) = 2 ln (2)

= 2 ln (2) - \frac{1}{2} ln (3)

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Frequently Asked Questions (FAQ)

What is ln(4/(sqrt(3))) ?
The solution to ln(4/(sqrt(3))) is 2ln(2)-1/2 ln(3)