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

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

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

simplify

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

lo g_{10} (x)

Solution steps

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

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

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

Add similar elements:

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

= lo g_{10} (x)

lo g_{b} (\frac{x y ^{4}}{z ^{6}})

\frac{1}{3} \cdot ln (64) - ln (12)

5 ln (x - 6) - ln (x^{2} - 11 x + 30) + 2 ln (x - 5)

5 ln (x + 1) + 6 ln (x)

\frac{1}{2} lo g_{10} (b) + 5 lo g_{10} (c)

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