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

The answer to ln(2x)-ln(x+1)=ln(x-5) is x=3+sqrt(14)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(2x)-ln(x+1)=ln(x-5)

ln (2 x) - ln (x + 1) = ln (x - 5)

x = 3 + 14

Decimal

x = 6.74165 \dots

Solution steps

ln (2 x) - ln (x + 1) = ln (x - 5)

Add

ln (x + 1)

to both sides

ln (2 x) - ln (x + 1) + ln (x + 1) = ln (x - 5) + ln (x + 1)

Simplify

ln (2 x) = ln (x - 5) + ln (x + 1)

Apply log rules

2 x = (x - 5) (x + 1)

Solve

2 x = (x - 5) (x + 1) : x = 3 + 14, x = 3 - 14

x = 3 + 14, x = 3 - 14

Verify Solutions:

x = 3 + 14

True

, x = 3 - 14

False

The solution is

x = 3 + 14

ln (x^{8} - 5) = 3

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

lo g_{10} (x) - 2 lo g_{10} (5 x) = 2

- lo g_{6} (8 w) = 0

5 lo g_{3} (1) + lo g_{4} (x + 3) = 3

What is the answer to ln(2x)-ln(x+1)=ln(x-5) ?
The answer to ln(2x)-ln(x+1)=ln(x-5) is x=3+sqrt(14)
Solve for x: ln(2x)-ln(x+1)=ln(x-5)
The solution is x=3+sqrt(14)