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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

4 lo g_{6} (x) = lo g_{6} (x^{4})

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln ((\frac{10 x}{3 y})^{2})

lo g_{4} (\frac{x}{5})

- lo g_{10} (6.31 \cdot 1 0^{- 6})

3 ln (x) + ln (x^{(4)}) - ln ((x^{3}) (e^{x}))

ln (2.6 x 1 0^{- 16}) - ln (3.4 x 1 0^{- 16})

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