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Popular >

simplify 1/2 (3ln(3)-ln(2))

Solution

simplify

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

Solution

\frac{1}{2} ln (\frac{27}{2})

+1

Decimal Notation

1.30134 \dots

Solution steps

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

Apply log rule:

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

3 ln (3) = ln (3^{3})

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

Apply log rule:

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

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

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

3^{3} = 27

= \frac{1}{2} ln (\frac{27}{2})

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Frequently Asked Questions (FAQ)

What is 1/2 (3ln(3)-ln(2)) ?
The solution to 1/2 (3ln(3)-ln(2)) is 1/2 ln(27/2)