What is the answer to ln(3x)-ln(x-4)=ln(x+3) ?

The answer to ln(3x)-ln(x-4)=ln(x+3) is x=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(3x)-ln(x-4)=ln(x+3)

ln (3 x) - ln (x - 4) = ln (x + 3)

x = 6

Solution steps

ln (3 x) - ln (x - 4) = ln (x + 3)

Add

ln (x - 4)

to both sides

ln (3 x) - ln (x - 4) + ln (x - 4) = ln (x + 3) + ln (x - 4)

Simplify

ln (3 x) = ln (x + 3) + ln (x - 4)

Apply log rules

3 x = (x + 3) (x - 4)

Solve

3 x = (x + 3) (x - 4) : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions:

x = 6

True

, x = - 2

False

The solution is

x = 6

x, lo g_{10} (x) = t

lo g_{7} (x) = 5

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

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

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

What is the answer to ln(3x)-ln(x-4)=ln(x+3) ?
The answer to ln(3x)-ln(x-4)=ln(x+3) is x=6
Solve for x: ln(3x)-ln(x-4)=ln(x+3)
The solution is x=6