What is log_{10}(x^3y^6) ?

The solution to log_{10}(x^3y^6) is 3log_{10}(x)+6log_{10}(y)

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simplify log_{10}(x^3y^6)

simplify

lo g_{10} (x^{3} y^{6})

3 lo g_{10} (x) + 6 lo g_{10} (y)

Solution steps

lo g_{10} (x^{3} y^{6})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (x^{3} y^{6}) = lo g_{10} (x^{3}) + lo g_{10} (y^{6})

= lo g_{10} (x^{3}) + lo g_{10} (y^{6})

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

lo g_{10} (y^{6}) = 6 lo g_{10} (y)

= 3 lo g_{10} (x) + 6 lo g_{10} (y)

lo g_{10} (30) + lo g_{10} (5)

lo g_{x} (\frac{a + 2}{a + 3})

lo g_{10} (2) + lo g_{10} (\frac{3}{2})

lo g_{6} (3 x^{4})

lo g_{10} (y) - lo g_{10} (2)

What is log_{10}(x^3y^6) ?
The solution to log_{10}(x^3y^6) is 3log_{10}(x)+6log_{10}(y)