What is the answer to ln(x+2)+ln(x)=0 ?

The answer to ln(x+2)+ln(x)=0 is x=-1+sqrt(2)

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ln(x+2)+ln(x)=0

ln (x + 2) + ln (x) = 0

x = - 1 + 2

Decimal Notation

x = 0.41421 \dots

Solution steps

ln (x + 2) + ln (x) = 0

Apply log rules

(x + 2) x = 1

Solve

(x + 2) x = 1 : x = - 1 + 2, x = - 1 - 2

x = - 1 + 2, x = - 1 - 2

Verify Solutions:

x = - 1 + 2

True

, x = - 1 - 2

False

The solution is

x = - 1 + 2

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

ln (x) = 2.85

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

lo g_{x} (729) = 3

lo g_{n} (1 0^{- 9}) = 20

What is the answer to ln(x+2)+ln(x)=0 ?
The answer to ln(x+2)+ln(x)=0 is x=-1+sqrt(2)
Solve for x: ln(x+2)+ln(x)=0
The solution is x=-1+sqrt(2)