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

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

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

simplify

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

lo g_{10} (x) + lo g_{10} (x)

Solution steps

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

Cancel

\frac{x ^{2}}{x} : x x

= lo g_{10} (x x)

Apply log rule:

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

lo g_{10} (x x) = lo g_{10} (x) + lo g_{10} (x)

= lo g_{10} (x) + lo g_{10} (x)

ln (x) - ln (5 x)

ln (\frac{θ ^{2} ( 3 - 2 θ )}{36})

ln (6 y)

6 lo g_{5} (x) - 36 lo g_{5} (y)

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