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Popular >

simplify ln(1/(x^2+y^2))

Solution

simplify

ln (\frac{1}{x ^{2} + y ^{2}})

Solution

- ln (x^{2} + y^{2})

Solution steps

ln (\frac{1}{x ^{2} + y ^{2}})

Apply log rule:

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

ln (\frac{1}{x ^{2} + y ^{2}}) = ln (1) - ln (x^{2} + y^{2})

= ln (1) - ln (x^{2} + y^{2})

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (x^{2} + y^{2})

0 - ln (x^{2} + y^{2}) = - ln (x^{2} + y^{2})

= - ln (x^{2} + y^{2})

Popular Examples

simplify (8.314*310)/(1*96485)ln((5.3)/(140))simplify

\frac{8.314 \cdot 310}{1 \cdot 96485} ln (\frac{5.3}{140})

simplify log_{10}(x+2)-1/2 log_{10}(1+x^2)simplify

lo g_{10} (x + 2) - \frac{1}{2} lo g_{10} (1 + x^{2})

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5 lo g_{a} (a) - lo g_{a} (a^{7}) + lo g_{a} (a^{- 3})

simplify ln((1/3)/(1/59049))simplify

ln (\frac{\frac{1}{3}}{\frac{1}{59049}})

simplify ln(11/10)simplify

ln (\frac{11}{10})

Frequently Asked Questions (FAQ)

What is ln(1/(x^2+y^2)) ?
The solution to ln(1/(x^2+y^2)) is -ln(x^2+y^2)