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Popular >

simplify (3ln(2)-ln(3))/4

Solution

simplify

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

Solution

\frac{ln ( \frac{8}{3} )}{4}

+1

Decimal Notation

0.24520 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= \frac{ln ( \frac{2 ^{3}}{3} )}{4}

2^{3} = 8

= \frac{ln ( \frac{8}{3} )}{4}

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Frequently Asked Questions (FAQ)

What is (3ln(2)-ln(3))/4 ?
The solution to (3ln(2)-ln(3))/4 is (ln(8/3))/4