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Popular >

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

Solution

simplify

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

Solution

\frac{ln ( \frac{a}{b ^{3}} )}{2}

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

ln (a) - ln (b^{3}) = ln (\frac{a}{b ^{3}})

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

Popular Examples

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Frequently Asked Questions (FAQ)

What is (ln(a)-3ln(b))/2 ?
The solution to (ln(a)-3ln(b))/2 is (ln(a/(b^3)))/2