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Popular >

expand log_{b}(1/x)

Solution

expand

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

Solution

- lo g_{b} (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{b} (x)

0 - lo g_{b} (x) = - lo g_{b} (x)

= - lo g_{b} (x)

Popular Examples

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\frac{1}{3} ln (x) + \frac{10}{12} ln (x + 3) - \frac{1}{6} ln (x + 3)

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ln (\frac{350}{400 - x})

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- ln (2) + ln (11) - ln (10) - ln (55)

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ln (\frac{3.64}{23}) + \frac{3}{23} ln (23)

join 1/3 ln(17/3+sqrt(35))join

\frac{1}{3} ln (\frac{17}{3} + 35)

Frequently Asked Questions (FAQ)

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