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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{5}(3)+3log_{5}(x)-2log_{5}(x+4)simplify

lo g_{5} (3) + 3 lo g_{5} (x) - 2 lo g_{5} (x + 4)

simplify ln(2(2)-1)-ln(2)simplify

ln (2 (2) - 1) - ln (2)

simplify 3log_{10}(x)-1/3 log_{10}(y)simplify

3 lo g_{10} (x) - \frac{1}{3} lo g_{10} (y)

simplify ln(2sin(x))simplify

ln (2 sin (x))

join 1/4*log_{10}(3)join

\frac{1}{4} \cdot lo g_{10} (3)

Frequently Asked Questions (FAQ)

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