What is the answer to ln(x)+ln(x-2)=ln(4) ?

The answer to ln(x)+ln(x-2)=ln(4) is x=1+sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 1 + 5

Solution steps

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

Apply log rules

x (x - 2) = 4

Solve

x (x - 2) = 4 : x = 1 + 5, x = 1 - 5

x = 1 + 5, x = 1 - 5

Verify Solutions:

x = 1 + 5

True

, x = 1 - 5

False

The solution is

x = 1 + 5

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

5 lo g_{10} (x - 2) = 11

lo g_{x} (2) = 1

lo g_{2} (lo g_{x} (4)) = 1

1 = ln (x)

What is the answer to ln(x)+ln(x-2)=ln(4) ?
The answer to ln(x)+ln(x-2)=ln(4) is x=1+sqrt(5)
Solve for x: ln(x)+ln(x-2)=ln(4)
The solution is x=1+sqrt(5)