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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(3x-2)+ln(x-1)=2ln(x)

ln (3 x - 2) + ln (x - 1) = 2 ln (x)

x = 2

Solution steps

ln (3 x - 2) + ln (x - 1) = 2 ln (x)

Apply log rules

(3 x - 2) (x - 1) = x^{2}

Solve

(3 x - 2) (x - 1) = x^{2} : x = 2, x = \frac{1}{2}

x = 2, x = \frac{1}{2}

Verify Solutions:

x = 2

True

, x = \frac{1}{2}

False

The solution is

x = 2

lo g_{5} (x) = - 1

lo g_{5} (t^{7}) = 5

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

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

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

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