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

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

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

x = 3

Solution steps

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

Add

ln (x - 2)

to both sides

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

Simplify

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

Apply log rules

x + 5 = 8 (x - 2)

Solve

x + 5 = 8 (x - 2) : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{x} (1008) = 2

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

lo g_{5} (y) = 40

0.58 = ln (x)

a, ln (a) = ln (b)

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