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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

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}{1 - e}

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

Verify Solutions:

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

True

The solution is

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

lo g_{x + 3} (3 x^{2} + 1) = 2

lo g_{2} (2 + 5 x) = 3

lo g_{3} (x - 4) + lo g_{3} (x + 14) = 5

lo g_{2} (x) = 16

lo g_{4} (- 2 x + 8) = 3

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