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Popular >

simplify ln(x)-ln(1/x)

Solution

simplify

ln (x) - ln (\frac{1}{x})

Solution

ln (x^{2})

Solution steps

ln (x) - ln (\frac{1}{x})

Apply log rule:

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

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

= ln (\frac{x}{\frac{1}{x}})

Simplify

\frac{x}{\frac{1}{x}} : x^{2}

= ln (x^{2})

Popular Examples

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0.7 \cdot lo g_{10} (1 \cdot 1 0^{- 3}) + 0.1

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

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lo g_{5} (5 x)

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ln (\frac{1}{x - 3})

Frequently Asked Questions (FAQ)

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