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Popular >

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

Solution

simplify

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

Solution

\frac{1}{2} ln (\frac{x}{y ^{3}})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

ln (x) - ln (y^{3}) = ln (\frac{x}{y ^{3}})

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

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Frequently Asked Questions (FAQ)

What is 1/2 (ln(x)-3ln(y)) ?
The solution to 1/2 (ln(x)-3ln(y)) is 1/2 ln(x/(y^3))