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Popular >

simplify 1/5 ln(x)-ln(y)

Solution

simplify

\frac{1}{5} ln (x) - ln (y)

Solution

ln (\frac{x ^{\frac{1}{5}}}{y})

Solution steps

\frac{1}{5} ln (x) - ln (y)

Apply log rule:

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

\frac{1}{5} ln (x) = ln (x^{\frac{1}{5}})

= ln (x^{\frac{1}{5}}) - ln (y)

Apply log rule:

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

ln (x^{\frac{1}{5}}) - ln (y) = ln (\frac{x ^{\frac{1}{5}}}{y})

= ln (\frac{x ^{\frac{1}{5}}}{y})

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Frequently Asked Questions (FAQ)

What is 1/5 ln(x)-ln(y) ?
The solution to 1/5 ln(x)-ln(y) is ln((x^{1/5})/y)