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Popular >

simplify 1/5 ln(y)+ln(z)

Solution

simplify

\frac{1}{5} ln (y) + ln (z)

Solution

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

Solution steps

\frac{1}{5} ln (y) + ln (z)

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

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Frequently Asked Questions (FAQ)

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