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Popular >

simplify log_{10}(1/(x-2))

Solution

simplify

lo g_{10} (\frac{1}{x - 2})

Solution

- lo g_{10} (x - 2)

Solution steps

lo g_{10} (\frac{1}{x - 2})

Simplify

\frac{1}{x - 2} : (x - 2)^{- 1}

= lo g_{10} ((x - 2)^{- 1})

Apply log rule

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

lo g_{10} ((x - 2)^{- 1}) = - 1 \cdot lo g_{10} (x - 2)

= - 1 \cdot lo g_{10} (x - 2)

Apply rule:

1 \cdot a = a

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

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Frequently Asked Questions (FAQ)

What is log_{10}(1/(x-2)) ?
The solution to log_{10}(1/(x-2)) is -log_{10}(x-2)