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

The answer to ln(x-2)+ln(x+5)=2ln(3) is x=(-3+sqrt(85))/2

Solve for x: ln(x-2)+ln(x+5)=2ln(3)

The solution is x=(-3+sqrt(85))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{- 3 + 85}{2}

Decimal Notation

x = 3.10977 \dots

Solution steps

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

Apply log rules

(x - 2) (x + 5) = 9

Solve

(x - 2) (x + 5) = 9 : x = \frac{- 3 + 85}{2}, x = \frac{- 3 - 85}{2}

x = \frac{- 3 + 85}{2}, x = \frac{- 3 - 85}{2}

Verify Solutions:

x = \frac{- 3 + 85}{2}

True

, x = \frac{- 3 - 85}{2}

False

The solution is

x = \frac{- 3 + 85}{2}

ln (8 k) = 2

ln (9 x) = 0

ln (x) = 46

ln (x) = 36

ln (x) = 14

What is the answer to ln(x-2)+ln(x+5)=2ln(3) ?
The answer to ln(x-2)+ln(x+5)=2ln(3) is x=(-3+sqrt(85))/2
Solve for x: ln(x-2)+ln(x+5)=2ln(3)
The solution is x=(-3+sqrt(85))/2