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Popular >

simplify log_{a}(1/x)

Solution

simplify

lo g_{a} (\frac{1}{x})

Solution

- lo g_{a} (x)

Solution steps

lo g_{a} (\frac{1}{x})

Simplify

\frac{1}{x} : x^{- 1}

= lo g_{a} (x^{- 1})

Apply log rule

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

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

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

Apply rule:

1 \cdot a = a

= - lo g_{a} (x)

Popular Examples

simplify 1-3log_{10}(2)+log_{10}(20)simplify

1 - 3 lo g_{10} (2) + lo g_{10} (20)

simplify log_{10}(y/3)simplify

lo g_{10} (\frac{y}{3})

simplify 5log_{10}(k)-7log_{10}(q)simplify

5 lo g_{10} (k) - 7 lo g_{10} (q)

simplify log_{10}(x)-2[log_{10}(y)+3log_{10}(z)]simplify

lo g_{10} (x) - 2 [lo g_{10} (y) + 3 lo g_{10} (z)]

expand log_{6}((36)/(sqrt(x+1)))expand

lo g_{6} (\frac{36}{x + 1})

Frequently Asked Questions (FAQ)

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