What is 3log_{10}(x)+3log_{10}(y) ?

The solution to 3log_{10}(x)+3log_{10}(y) is log_{10}(x^3y^3)

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simplify 3log_{10}(x)+3log_{10}(y)

simplify

3 lo g_{10} (x) + 3 lo g_{10} (y)

lo g_{10} (x^{3} y^{3})

Solution steps

3 lo g_{10} (x) + 3 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (x) = lo g_{10} (x^{3})

= lo g_{10} (x^{3}) + 3 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (y) = lo g_{10} (y^{3})

= lo g_{10} (x^{3}) + lo g_{10} (y^{3})

Apply log rule:

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

lo g_{10} (x^{3}) + lo g_{10} (y^{3}) = lo g_{10} (x^{3} y^{3})

= lo g_{10} (x^{3} y^{3})

lo g_{4} (\frac{8 y}{z})

lo g_{10} (\frac{1}{2}) + lo g_{10} (4) - 2

ln (\frac{8}{9 x ^{9} y})

lo g_{b} (6) + lo g_{b} (4)

\frac{1}{2} ln (8) - ln (32)

What is 3log_{10}(x)+3log_{10}(y) ?
The solution to 3log_{10}(x)+3log_{10}(y) is log_{10}(x^3y^3)