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Popular >

simplify ln(1/(sqrt(z)))

Solution

simplify

ln (\frac{1}{z})

Solution

- ln (z)

Solution steps

ln (\frac{1}{z})

Apply log rule:

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

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

= ln (1) - ln (z)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (z)

0 - ln (z) = - ln (z)

= - ln (z)

Popular Examples

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lo g_{3} (\frac{1}{12})

simplify-log_{10}(1.25*10^{-6})simplify

- lo g_{10} (1.25 \cdot 1 0^{- 6})

simplify ln((0.67)/(12))simplify

ln (\frac{0.67}{12})

simplify ln(1/4 e^{4x})simplify

ln (\frac{1}{4} e^{4 x})

simplify 5ln(3)-ln(x^5)simplify

5 ln (3) - ln (x^{5})

Frequently Asked Questions (FAQ)

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