What is simplify-ln(\sqrt[4]{y})-1/4 ln(x) ?

The solution to simplify-ln(\sqrt[4]{y})-1/4 ln(x) is -ln(\sqrt[4]{y}x^{1/4})

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simplify-ln(\sqrt[4]{y})-1/4 ln(x)

simplify

Solution steps

Apply log rule:

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

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

Rewrite

Apply log rule:

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

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

lo g_{b} (5) + 2 lo g_{b} (4)

2 lo g_{2} (x) + lo g_{2} (5)

lo g_{10} (9) + 4 \cdot lo g_{10} (27) - lo g_{10} (81)

\frac{1}{2} lo g_{10} (x) + 4 lo g_{10} (x - 1)

What is simplify-ln(\sqrt[4]{y})-1/4 ln(x) ?
The solution to simplify-ln(\sqrt[4]{y})-1/4 ln(x) is -ln(\sqrt[4]{y}x^{1/4})