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Popular >

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

Solution

simplify

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

Solution

- ln (- x + 3)

Solution steps

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

Apply log rule:

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

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

= lo g_{e} (1) - lo g_{e} (- x + 3)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (- x + 3)

Apply log rule:

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

= 0 - ln (- x + 3)

0 - ln (3 - x) = - ln (3 - x)

= - ln (- x + 3)

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Frequently Asked Questions (FAQ)

What is log_{e}(1/(3-x)) ?
The solution to log_{e}(1/(3-x)) is -ln(-x+3)