What is the answer to ln(x-2)+ln(x+2)=ln(3x) ?

The answer to ln(x-2)+ln(x+2)=ln(3x) is x=4

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ln(x-2)+ln(x+2)=ln(3x)

ln (x - 2) + ln (x + 2) = ln (3 x)

x = 4

Solution steps

ln (x - 2) + ln (x + 2) = ln (3 x)

Apply log rules

(x - 2) (x + 2) = 3 x

Solve

(x - 2) (x + 2) = 3 x : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions:

x = 4

True

, x = - 1

False

The solution is

x = 4

lo g_{9} (x + 1) - lo g_{9} (1 - x) = lo g_{9} (2 x + 3)

u, ln (1 - u) = x

ln (ln (x)) = 1

2 \cdot ln (x) + ln (x^{2} + 2) = ln (3)

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

What is the answer to ln(x-2)+ln(x+2)=ln(3x) ?
The answer to ln(x-2)+ln(x+2)=ln(3x) is x=4
Solve for x: ln(x-2)+ln(x+2)=ln(3x)
The solution is x=4