What is log_{10}(x^2y^5) ?

The solution to log_{10}(x^2y^5) is 2log_{10}(x)+5log_{10}(y)

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simplify log_{10}(x^2y^5)

simplify

lo g_{10} (x^{2} y^{5})

2 lo g_{10} (x) + 5 lo g_{10} (y)

Solution steps

lo g_{10} (x^{2} y^{5})

Apply log rule:

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

lo g_{10} (x^{2} y^{5}) = lo g_{10} (x^{2}) + lo g_{10} (y^{5})

= lo g_{10} (x^{2}) + lo g_{10} (y^{5})

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

lo g_{10} (y^{5}) = 5 lo g_{10} (y)

= 2 lo g_{10} (x) + 5 lo g_{10} (y)

lo g_{3} (\frac{81}{y})

lo g_{10} (\frac{y ^{7}}{x z ^{3}})

2 + lo g_{2} (x) + 3 lo g_{2} (y)

lo g_{10} (3) + 2 lo g_{10} (5)

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

What is log_{10}(x^2y^5) ?
The solution to log_{10}(x^2y^5) is 2log_{10}(x)+5log_{10}(y)