What is the answer to ln(x-1)+ln(x+1)=ln(3) ?

The answer to ln(x-1)+ln(x+1)=ln(3) is x=2

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ln(x-1)+ln(x+1)=ln(3)

ln (x - 1) + ln (x + 1) = ln (3)

x = 2

Solution steps

ln (x - 1) + ln (x + 1) = ln (3)

Apply log rules

(x - 1) (x + 1) = 3

Solve

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

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

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

3.4 = - lo g_{10} (x)

lo g_{5} (x + 8) = 1 - lo g_{5} (x + 4)

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

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

What is the answer to ln(x-1)+ln(x+1)=ln(3) ?
The answer to ln(x-1)+ln(x+1)=ln(3) is x=2
Solve for x: ln(x-1)+ln(x+1)=ln(3)
The solution is x=2