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

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

Solve for x: ln(x/(x-1))=2

The solution is x=(e^2)/(e^2-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Decimal Notation

x = 1.15651 \dots

Solution steps

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

Apply log rules

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

Multiply both sides by

x - 1

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

Simplify

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

ln (x) + ln (x^{2}) = 6

lo g_{6} (4 x - 5) = lo g_{6} (2 x + 1)

4 ln (2) - ln (8) = - ln (2 x)

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

ln (x + 2) + ln (x - 2) = 0

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