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

The answer to ln(x+2)+ln(x-2)=0 is x=sqrt(5)

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

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

x = 5

Decimal Notation

x = 2.23606 \dots

Solution steps

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

Apply log rules

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

Solve

(x + 2) (x - 2) = 1 : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions:

x = 5

True

, x = - 5

False

The solution is

x = 5

lo g_{10} (x) + lo g_{10} (2 x) = 1

lo g_{6} (x^{2} + 19 x + 124) = 3

2 = lo g_{5} (x)

0.6 = ln (x)

ln (5 x - 1) = 2

What is the answer to ln(x+2)+ln(x-2)=0 ?
The answer to ln(x+2)+ln(x-2)=0 is x=sqrt(5)
Solve for x: ln(x+2)+ln(x-2)=0
The solution is x=sqrt(5)