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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Decimal Notation

x = 13.77811 \dots

Solution steps

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

Apply log rules

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

Multiply both sides by

2

\frac{x + 1}{2} \cdot 2 = e^{2} \cdot 2

Simplify

x + 1 = e^{2} \cdot 2

Solve

x + 1 = e^{2} \cdot 2 : x = e^{2} \cdot 2 - 1

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

Verify Solutions:

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

True

The solution is

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

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

lo g_{5} (x - 1) + 4 = 0

ln (k) = - 14.648

- 5.2 = lo g_{10} (x 0.0175)

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