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Popular >

simplify ln(x)-1/4 ln(y)

Solution

simplify

ln (x) - \frac{1}{4} ln (y)

Solution

ln (\frac{x y ^{\frac{3}{4}}}{y})

Solution steps

ln (x) - \frac{1}{4} ln (y)

Apply log rule:

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

\frac{1}{4} ln (y) = ln (y^{\frac{1}{4}})

= ln (x) - ln (y^{\frac{1}{4}})

Apply log rule:

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

ln (x) - ln (y^{\frac{1}{4}}) = ln (\frac{x}{y ^{\frac{1}{4}}})

= ln (\frac{x}{y ^{\frac{1}{4}}})

Simplify

\frac{x}{y ^{\frac{1}{4}}} : \frac{x y ^{\frac{3}{4}}}{y}

= ln (\frac{x y ^{\frac{3}{4}}}{y})

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Frequently Asked Questions (FAQ)

What is ln(x)-1/4 ln(y) ?
The solution to ln(x)-1/4 ln(y) is ln((xy^{3/4})/y)