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Popular >

expand ln(1/(x^6))

Solution

expand

ln (\frac{1}{x ^{6}})

Solution

- 6 ln (x)

Solution steps

ln (\frac{1}{x ^{6}})

Apply log rule:

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

ln (\frac{1}{x ^{6}}) = ln (1) - ln (x^{6})

= ln (1) - ln (x^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{6}) = 6 ln (x)

= ln (1) - 6 ln (x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - 6 ln (x)

0 - 6 ln (x) = - 6 ln (x)

= - 6 ln (x)

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Frequently Asked Questions (FAQ)

What is expand ln(1/(x^6)) ?
The solution to expand ln(1/(x^6)) is -6ln(x)