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Popular Calculus >

simplify ln(1/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)

Popular Examples

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\int e^{3 x + 2} d x

derivative of e^{x^2+3}

\frac{d}{d x} (e^{x^{2} + 3})

integral of 1/(2y+y^2)

\int \frac{1}{2 y + y ^{2}} d y

(\partial)/(\partial x)(2x^4y+sin(x^3))

\frac{\partial}{\partial x} (2 x^{4} y + sin (x^{3}))

integral from 0 to 3pi of 5x^2sin(1/6 x)

\int_{0}^{3 π} 5 x^{2} sin (\frac{1}{6} x) d x

Frequently Asked Questions (FAQ)

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