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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

ln (\frac{27}{4})

lo g_{10} (\frac{10 x}{3})

2 lo g_{a} (x) - 4 lo g_{a} (y^{3})

lo g_{9} (9 x^{4}) + lo g_{3} (x)

2 lo g_{10} (8) - 3 lo g_{10} (x)

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