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Popular >

expand ln(1/x)

Solution

expand

ln (\frac{1}{x})

Solution

- ln (x)

Solution steps

ln (\frac{1}{x})

Apply log rule:

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

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

= ln (1) - ln (x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (x)

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

= - ln (x)

Popular Examples

simplify log_{10}((10x)/6)simplify

lo g_{10} (\frac{10 x}{6})

simplify log_{b}(60)+log_{b}(3)simplify

lo g_{b} (60) + lo g_{b} (3)

simplify ln(p)-ln(p-6500)simplify

ln (p) - ln (p - 6500)

simplify 1/4 log_{10}(a)-1/5 log_{10}(b)simplify

\frac{1}{4} lo g_{10} (a) - \frac{1}{5} lo g_{10} (b)

simplify ln(6/x)simplify

ln (\frac{6}{x})

Frequently Asked Questions (FAQ)

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