What is log_{10}((10x^3)/(y^2)) ?

The solution to log_{10}((10x^3)/(y^2)) is 1+3log_{10}(x)-2log_{10}(y)

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simplify log_{10}((10x^3)/(y^2))

simplify

lo g_{10} (\frac{10 x ^{3}}{y ^{2}})

1 + 3 lo g_{10} (x) - 2 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{10 x ^{3}}{y ^{2}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{10 x ^{3}}{y ^{2}}) = lo g_{10} (10 x^{3}) - lo g_{10} (y^{2})

= lo g_{10} (10 x^{3}) - lo g_{10} (y^{2})

lo g_{10} (10 x^{3}) = 1 + 3 lo g_{10} (x)

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

= 1 + 3 lo g_{10} (x) - 2 lo g_{10} (y)

8 lo g_{5} (u) + 4 lo g_{5} (v)

lo g_{10} ((4 x)^{5})

- 2 lo g_{b} (x) - 6 lo g_{b} (y) + \frac{1}{7} lo g_{b} (z)

What is log_{10}((10x^3)/(y^2)) ?
The solution to log_{10}((10x^3)/(y^2)) is 1+3log_{10}(x)-2log_{10}(y)