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Popular >

simplify 1/2 (ln(11)-3ln(2))

Solution

simplify

\frac{1}{2} (ln (11) - 3 ln (2))

Solution

\frac{1}{2} ln (\frac{11}{8})

+1

Decimal Notation

0.15922 \dots

Solution steps

\frac{1}{2} (ln (11) - 3 ln (2))

Apply log rule:

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

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

= \frac{1}{2} (ln (11) - ln (2^{3}))

Apply log rule:

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

ln (11) - ln (2^{3}) = ln (\frac{11}{2 ^{3}})

= \frac{1}{2} ln (\frac{11}{2 ^{3}})

2^{3} = 8

= \frac{1}{2} ln (\frac{11}{8})

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Frequently Asked Questions (FAQ)

What is 1/2 (ln(11)-3ln(2)) ?
The solution to 1/2 (ln(11)-3ln(2)) is 1/2 ln(11/8)