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Popular >

inverse of ln((e^x)/(e^x-1))

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

Popular Examples

inverse of f(x)= 1/((2x)-3)inverse

f (x) = \frac{1}{( 2 x ) - 3}

inverse of f(x)=30x+400 inverse

f (x) = 30 x + 400

inverse of f(x)=log_{10}(x+3)inverse

f (x) = lo g_{10} (x + 3)

inverse of f(x)=2+sqrt(ln(x-1))inverse

f (x) = 2 + ln (x - 1)

inverse of f(x)=300*4^x inverse

f (x) = 300 \cdot 4^{x}

Frequently Asked Questions (FAQ)

What is the inverse of ln((e^x)/(e^x-1)) ?
The inverse of ln((e^x)/(e^x-1)) is x-ln(e^x-1)