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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{x ^{5}}{y ^{2}}) = lo g_{10} (x^{5}) - lo g_{10} (y^{2})

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

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

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

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

ln (e (x + 5))

ln (\frac{e ^{4}}{9})

lo g_{2} (x) - lo g_{2} (w) + lo g_{2} (z)

ln (\frac{0.7}{0.3})

ln ((x - 2) (x + 3))

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