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

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

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

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

x = 1 + 2

Decimal Notation

x = 2.41421 \dots

Solution steps

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

Apply log rules

x (x - 2) = 1

Solve

x (x - 2) = 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_{\frac{3}{4}} (x) = 2

3 lo g_{9} (x) = (lo g_{3} (x))^{2}

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

ln (x^{2}) = 20

lo g_{3} (4^{x}) = 1 - 2 x

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