What is 4log_{5}(x)-6log_{5}(y) ?

The solution to 4log_{5}(x)-6log_{5}(y) is log_{5}((x^4)/(y^6))

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simplify 4log_{5}(x)-6log_{5}(y)

simplify

4 lo g_{5} (x) - 6 lo g_{5} (y)

lo g_{5} (\frac{x ^{4}}{y ^{6}})

Solution steps

4 lo g_{5} (x) - 6 lo g_{5} (y)

Apply log rule:

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

4 lo g_{5} (x) = lo g_{5} (x^{4})

= lo g_{5} (x^{4}) - 6 lo g_{5} (y)

Apply log rule:

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

6 lo g_{5} (y) = lo g_{5} (y^{6})

= lo g_{5} (x^{4}) - lo g_{5} (y^{6})

Apply log rule:

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

lo g_{5} (x^{4}) - lo g_{5} (y^{6}) = lo g_{5} (\frac{x ^{4}}{y ^{6}})

= lo g_{5} (\frac{x ^{4}}{y ^{6}})

\frac{d}{d x} (cos (2 ln (x))) + \frac{107}{5 ( x )}

lo g_{15} (\frac{17 - 4 x}{2}) + e^{x^{2} - x - 2}

ln (2 e^{3 x})

- lo g_{10} (2 \cdot 1 0^{- 12})

ln ((θ + 1) x^{θ})

What is 4log_{5}(x)-6log_{5}(y) ?
The solution to 4log_{5}(x)-6log_{5}(y) is log_{5}((x^4)/(y^6))