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Popular >

inverse of ln((x+5)/(x-3))

Solution

inverse

ln (\frac{x + 5}{x - 3})

Solution

\frac{5 + 3 e ^{x}}{e ^{x} - 1}

Solution steps

y = ln (\frac{x + 5}{x - 3})

Replace

x

with

y

x = ln (\frac{y + 5}{y - 3})

Solve for

y, x = ln (\frac{y + 5}{y - 3})

\frac{5 + 3 e ^{x}}{e ^{x} - 1}

Popular Examples

inverse of y=e^{1/3 x}inverse

y = e^{\frac{1}{3} x}

inverse of f(x)=-8x+2 inverse

f (x) = - 8 x + 2

inverse of f(x)=-12x inverse

f (x) = - 12 x

inverse of f(x)=3(x-4)^2+5 inverse

f (x) = 3 (x - 4)^{2} + 5

inverse of f(x)= 1/6 log_{3}(-3x)+2 inverse

f (x) = \frac{1}{6} lo g_{3} (- 3 x) + 2

Frequently Asked Questions (FAQ)

What is the inverse of ln((x+5)/(x-3)) ?
The inverse of ln((x+5)/(x-3)) is (5+3e^x)/(e^x-1)