What is log_{10}((sqrt(x)a^2)/(y^7)) ?

The solution to log_{10}((sqrt(x)a^2)/(y^7)) is log_{10}(sqrt(x))+2log_{10}(a)-7log_{10}(y)

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simplify log_{10}((sqrt(x)a^2)/(y^7))

simplify

lo g_{10} (\frac{x a ^{2}}{y ^{7}})

lo g_{10} (x) + 2 lo g_{10} (a) - 7 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x a ^{2}}{y ^{7}})

Apply log rule:

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

lo g_{10} (\frac{x a ^{2}}{y ^{7}}) = lo g_{10} (x a^{2}) - lo g_{10} (y^{7})

= lo g_{10} (x a^{2}) - lo g_{10} (y^{7})

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

lo g_{10} (y^{7}) = 7 lo g_{10} (y)

= lo g_{10} (x) + 2 lo g_{10} (a) - 7 lo g_{10} (y)

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

lo g_{3} (\frac{3}{x})

ln (\frac{e ^{4}}{8})

lo g_{b} (x) - lo g_{b} (x - 1) - 5 lo g_{10} (x - 3)

ln (\frac{∣ 1 + x ∣}{∣ 1 - x ∣})

What is log_{10}((sqrt(x)a^2)/(y^7)) ?
The solution to log_{10}((sqrt(x)a^2)/(y^7)) is log_{10}(sqrt(x))+2log_{10}(a)-7log_{10}(y)