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Popular >

simplify ln(1+x)-ln(x)

Solution

simplify

ln (1 + x) - ln (x)

Solution

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

Solution steps

ln (1 + x) - ln (x)

Apply log rule:

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

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

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

Popular Examples

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\frac{1}{\frac{1}{25} ln ( \frac{2}{3} )} ln (\frac{16 - 20}{5 - 20})

join (5pi)/8 ln(5)join

\frac{5 π}{8} ln (5)

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Frequently Asked Questions (FAQ)

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