What is 7log_{12}(x)+2log_{12}(y) ?

The solution to 7log_{12}(x)+2log_{12}(y) is log_{12}(x^7y^2)

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simplify 7log_{12}(x)+2log_{12}(y)

simplify

7 lo g_{12} (x) + 2 lo g_{12} (y)

lo g_{12} (x^{7} y^{2})

Solution steps

7 lo g_{12} (x) + 2 lo g_{12} (y)

Apply log rule:

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

7 lo g_{12} (x) = lo g_{12} (x^{7})

= lo g_{12} (x^{7}) + 2 lo g_{12} (y)

Apply log rule:

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

2 lo g_{12} (y) = lo g_{12} (y^{2})

= lo g_{12} (x^{7}) + lo g_{12} (y^{2})

Apply log rule:

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

lo g_{12} (x^{7}) + lo g_{12} (y^{2}) = lo g_{12} (x^{7} y^{2})

= lo g_{12} (x^{7} y^{2})

ln (\frac{50}{100})

\frac{2}{3} lo g_{2} (x) - 3 lo g_{2} (y)

ln (\frac{3 x 1 + 5 x}{( x - 6 ) ^{8}})

ln (\frac{- 1}{2})

lo g_{7} (x y^{3})

What is 7log_{12}(x)+2log_{12}(y) ?
The solution to 7log_{12}(x)+2log_{12}(y) is log_{12}(x^7y^2)