What is the answer to ln(2x+1)+3=5 ?

The answer to ln(2x+1)+3=5 is x=(e^2-1)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(2x+1)+3=5

ln (2 x + 1) + 3 = 5

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

Decimal Notation

x = 3.19452 \dots

Solution steps

ln (2 x + 1) + 3 = 5

Move

3

to the right side

ln (2 x + 1) = 2

Apply log rules

2 x + 1 = e^{2}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

ln (9 x + e) = - 6

ln (1 - e^{x}) + ln (1 + e^{x}) = x

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

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

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