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

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

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simplify log_{10}(x^2)-log_{10}(10x)

simplify

lo g_{10} (x^{2}) - lo g_{10} (10 x)

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

Solution steps

lo g_{10} (x^{2}) - lo g_{10} (10 x)

Apply log rule:

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

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

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

Simplify

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

= lo g_{10} (\frac{x}{10})

lo g_{5} (\frac{x ^{4}}{25 y ^{2} z})

2 lo g_{7} (3 x) + 3 lo g_{7} (2 x)

lo g_{3} (\frac{27}{x + 8})

lo g_{2} (\frac{8 x ^{3}}{x ^{2} - 1})

lo g_{5} (\frac{f}{125})

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