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Popular >

simplify ln(1/b)

Solution

simplify

ln (\frac{1}{b})

Solution

- ln (b)

Solution steps

ln (\frac{1}{b})

Apply log rule:

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

ln (\frac{1}{b}) = ln (1) - ln (b)

= ln (1) - ln (b)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (b)

0 - ln (b) = - ln (b)

= - ln (b)

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expand log_{b}(1/x)expand

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

Frequently Asked Questions (FAQ)

What is ln(1/b) ?
The solution to ln(1/b) is -ln(b)