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Popular >

simplify ln(e^x-1)-ln(x)

Solution

simplify

ln (e^{x} - 1) - ln (x)

Solution

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

Solution steps

ln (e^{x} - 1) - ln (x)

Apply log rule:

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

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

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

Popular Examples

simplify ln(1/a e^{5a})simplify

ln (\frac{1}{a} e^{5 a})

simplify-log_{10}(5.2*10^{-12})simplify

- lo g_{10} (5.2 \cdot 1 0^{- 12})

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ln (8) - ln (2) - ln (\frac{1}{4})

simplify 21ln(11)+ln(x)+ln(29)simplify

21 ln (11) + ln (x) + ln (29)

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ln (\frac{8 x - 2}{x + 2} sin (e^{2 x}))

Frequently Asked Questions (FAQ)

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