What is log_{10}(5x^3y) ?

The solution to log_{10}(5x^3y) is log_{10}(5)+3log_{10}(x)+log_{10}(y)

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simplify log_{10}(5x^3y)

simplify

lo g_{10} (5 x^{3} y)

lo g_{10} (5) + 3 lo g_{10} (x) + lo g_{10} (y)

Solution steps

lo g_{10} (5 x^{3} y)

Apply log rule:

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

lo g_{10} (5 x^{3} y) = lo g_{10} (5) + lo g_{10} (x^{3}) + lo g_{10} (y)

= lo g_{10} (5) + lo g_{10} (x^{3}) + lo g_{10} (y)

Simplify

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

= lo g_{10} (5) + 3 lo g_{10} (x) + lo g_{10} (y)

lo g_{4} (\frac{3 y}{7})

ln (\frac{x}{x ^{6} y ^{2}})

lo g_{7} (\frac{7 x ^{5}}{y})

lo g_{6} (7 x)

lo g_{5} (\frac{25}{y})

What is log_{10}(5x^3y) ?
The solution to log_{10}(5x^3y) is log_{10}(5)+3log_{10}(x)+log_{10}(y)