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Popular >

simplify log_{e}(1/x)

Solution

simplify

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

Solution

- ln (x)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{e} (\frac{1}{x}) = lo g_{e} (1) - lo g_{e} (x)

= lo g_{e} (1) - lo g_{e} (x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= 0 - ln (x)

0 - ln (x) = - ln (x)

= - ln (x)

Popular Examples

simplify-log_{10}(6.5\times 10^{-5})simplify

- lo g_{10} (6.5 \times 1 0^{- 5})

simplify ln(((x^2-1)^3)/((x+3)^2))simplify

ln (\frac{( x ^{2} - 1 ) ^{3}}{( x + 3 ) ^{2}})

simplify log_{10}(x)-4log_{10}(y)+5log_{10}(z)simplify

lo g_{10} (x) - 4 lo g_{10} (y) + 5 lo g_{10} (z)

simplify ln(r/(6s))simplify

ln (\frac{r}{6 s})

simplify log_{10}((5a)/(3b))simplify

lo g_{10} (\frac{5 a}{3 b})

Frequently Asked Questions (FAQ)

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