What is the answer to ln(x)+ln(x+3)=0 ?

The answer to ln(x)+ln(x+3)=0 is x=(-3+sqrt(13))/2

Solve for x: ln(x)+ln(x+3)=0

The solution is x=(-3+sqrt(13))/2

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ln (x) + ln (x + 3) = 0

x = \frac{- 3 + 13}{2}

Decimal Notation

x = 0.30277 \dots

Solution steps

ln (x) + ln (x + 3) = 0

Apply log rules

x (x + 3) = 1

Solve

x (x + 3) = 1 : x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

Verify Solutions:

x = \frac{- 3 + 13}{2}

True

, x = \frac{- 3 - 13}{2}

False

The solution is

x = \frac{- 3 + 13}{2}

lo g_{10} (x + 5) = lo g_{10} (2 x - 3)

ln (3 x + 3.7) - 1.2 = - 12.3

ln (x) = 5.943189204

7.53 = - lo g_{10} (x)

x ln (2 x) = 0

What is the answer to ln(x)+ln(x+3)=0 ?
The answer to ln(x)+ln(x+3)=0 is x=(-3+sqrt(13))/2
Solve for x: ln(x)+ln(x+3)=0
The solution is x=(-3+sqrt(13))/2