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Popular >

simplify ln(1/(sqrt(x)))

Solution

simplify

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)

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ln (\frac{x}{6})

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Frequently Asked Questions (FAQ)

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