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 = 2.41421 \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

0.3 = lo g_{10} (x)

ln (x^{2} + 10 x + 25) = 0

lo g_{x + 1} ((x^{2} + x - 6)^{2}) = 4

3 lo g_{10} (8 t + 10) = 0

ln (x) = 6.666

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)