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

The answer to ln(x+5)+ln(x-2)=2ln(x) is x= 10/3

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)=2ln(x)

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

x = \frac{10}{3}

Decimal

x = 3.33333 \dots

Solution steps

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

Apply log rules

(x + 5) (x - 2) = x^{2}

Solve

(x + 5) (x - 2) = x^{2} : x = \frac{10}{3}

x = \frac{10}{3}

Verify Solutions:

x = \frac{10}{3}

True

The solution is

x = \frac{10}{3}

ln (x^{2}) = 2 ln (4) - ln (5)

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

lo g_{2} (n) = 100

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

2 lo g_{10} (x) - lo g_{10} (3) = 2

What is the answer to ln(x+5)+ln(x-2)=2ln(x) ?
The answer to ln(x+5)+ln(x-2)=2ln(x) is x= 10/3
Solve for x: ln(x+5)+ln(x-2)=2ln(x)
The solution is x= 10/3