What is the answer to ln(3x+5)-ln(x+4)=ln(2) ?

The answer to ln(3x+5)-ln(x+4)=ln(2) is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(3x+5)-ln(x+4)=ln(2)

ln (3 x + 5) - ln (x + 4) = ln (2)

x = 3

Solution steps

ln (3 x + 5) - ln (x + 4) = ln (2)

Add

ln (x + 4)

to both sides

ln (3 x + 5) - ln (x + 4) + ln (x + 4) = ln (2) + ln (x + 4)

Simplify

ln (3 x + 5) = ln (2) + ln (x + 4)

Apply log rules

3 x + 5 = 2 (x + 4)

Solve

3 x + 5 = 2 (x + 4) : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{2} (4 x + 1) = 5

y, x = lo g_{2} (5 y)

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

lo g_{3} ((x^{2} + 2)^{2}) = 6

- 2 ln (x + 4) = 0

What is the answer to ln(3x+5)-ln(x+4)=ln(2) ?
The answer to ln(3x+5)-ln(x+4)=ln(2) is x=3
Solve for x: ln(3x+5)-ln(x+4)=ln(2)
The solution is x=3