What is 3log_{10}(x)-log_{10}(x^2) ?

The solution to 3log_{10}(x)-log_{10}(x^2) is log_{10}(x)

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simplify 3log_{10}(x)-log_{10}(x^2)

simplify

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

lo g_{10} (x)

Solution steps

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

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)

= 3 lo g_{10} (x) - 2 lo g_{10} (x)

Add similar elements:

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

= lo g_{10} (x)

lo g_{5} (12) - lo g_{5} (20) - lo g_{5} (15)

9 \cdot (- 1)

125 m^{3} - 8 n^{3}

\frac{( - 24 x ^{3} + 18 x + 6 )}{( 6 x + 3 )}

a \cdot 2 a

What is 3log_{10}(x)-log_{10}(x^2) ?
The solution to 3log_{10}(x)-log_{10}(x^2) is log_{10}(x)