What is the answer to ln(x-2)+ln(x+1)=2ln(2) ?

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

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

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

x = 3

Solution steps

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

Apply log rules

(x - 2) (x + 1) = 4

Solve

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

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

lo g_{x} (32) = \frac{5}{2}

lo g_{2} (x) = - 1

lo g_{1000} (x) = \frac{1}{3}

lo g_{3} (2 x - 6) = 1

2 ln (x) = 1

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