What is 3log_{10}(x)-log_{10}(1/x) ?

The solution to 3log_{10}(x)-log_{10}(1/x) is 4log_{10}(x)

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simplify 3log_{10}(x)-log_{10}(1/x)

simplify

3 lo g_{10} (x) - lo g_{10} (\frac{1}{x})

4 lo g_{10} (x)

Solution steps

3 lo g_{10} (x) - lo g_{10} (\frac{1}{x})

Simplify

lo g_{10} (\frac{1}{x}) : - lo g_{10} (x)

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

Apply rule:

a - (- b) = a + b

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

= 3 lo g_{10} (x) + lo g_{10} (x)

Add similar elements:

3 lo g_{10} (x) + lo g_{10} (x) = 4 lo g_{10} (x)

= 4 lo g_{10} (x)

lo g_{a} (ab)

\frac{1}{3} ln (12)

lo g_{2} (x (x - 1))

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

- \frac{6 ln ( \frac{9}{10} )}{ln ( 2 )}

What is 3log_{10}(x)-log_{10}(1/x) ?
The solution to 3log_{10}(x)-log_{10}(1/x) is 4log_{10}(x)