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Popular >

simplify ln(3)-2/3 ln(2)

Solution

simplify

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

Solution

+1

Decimal Notation

0.63651 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is ln(3)-2/3 ln(2) ?
The solution to ln(3)-2/3 ln(2) is ln((3\sqrt[3]{2})/2)