What is 2log_{6}(x)+5log_{6}(y) ?

The solution to 2log_{6}(x)+5log_{6}(y) is log_{6}(x^2y^5)

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simplify 2log_{6}(x)+5log_{6}(y)

simplify

2 lo g_{6} (x) + 5 lo g_{6} (y)

lo g_{6} (x^{2} y^{5})

Solution steps

2 lo g_{6} (x) + 5 lo g_{6} (y)

Apply log rule:

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

2 lo g_{6} (x) = lo g_{6} (x^{2})

= lo g_{6} (x^{2}) + 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^{2}) + lo g_{6} (y^{5})

Apply log rule:

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

lo g_{6} (x^{2}) + lo g_{6} (y^{5}) = lo g_{6} (x^{2} y^{5})

= lo g_{6} (x^{2} y^{5})

\frac{1}{2} ln (\frac{7}{3})

- lo g_{10} (2.46 \cdot 1 0^{- 5})

4 ln (x - 5) - ln (x^{2} - 8 x + 15) + 2 ln (x - 3)

25 lo g_{5} (x) + 5 lo g_{5} (y)

ln (\frac{x ^{5} x + 2}{x + 8})

What is 2log_{6}(x)+5log_{6}(y) ?
The solution to 2log_{6}(x)+5log_{6}(y) is log_{6}(x^2y^5)