What is the answer to ln(x/(x-2))=1 ?

The answer to ln(x/(x-2))=1 is x=(2e)/(e-1)

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ln(x/(x-2))=1

ln (\frac{x}{x - 2}) = 1

x = \frac{2 e}{e - 1}

Decimal Notation

x = 3.16395 \dots

Solution steps

ln (\frac{x}{x - 2}) = 1

Apply log rules

\frac{x}{x - 2} = e^{1}

Multiply both sides by

x - 2

\frac{x}{x - 2} (x - 2) = e^{1} (x - 2)

Simplify

x = e (x - 2)

Solve

x = e (x - 2) : x = \frac{2 e}{e - 1}

x = \frac{2 e}{e - 1}

Verify Solutions:

x = \frac{2 e}{e - 1}

True

The solution is

x = \frac{2 e}{e - 1}

lo g_{2} (x - 2) + lo g_{2} (x + 4) = 4

lo g_{0.05} (x) = 3

x^{5} e^{- 3 l n (x)} + 4 x = 21

ln (x) + ln (x - 3 e) = ln (4) + 2

- 4 lo g_{2} (5 x) = - 12

What is the answer to ln(x/(x-2))=1 ?
The answer to ln(x/(x-2))=1 is x=(2e)/(e-1)
Solve for x: ln(x/(x-2))=1
The solution is x=(2e)/(e-1)