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)

f (y) = lo g_{4} (\frac{y}{16})

\frac{1}{2} lo g_{c} (x) - 5 lo g_{c} (x) + 2 lo g_{c} (y)

- lo g_{10} (1.6673 \cdot 1 0^{- 5})

f (x) = lo g_{10} (3 x + 1) - lo g_{10} (3 x^{(2)} - 5 x - 2)

2 ln (x^{2} - 1) - ln (x^{4} - 1)

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))