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

The answer to 2ln(x-1)-ln(x+2)=2ln(2) is x=7

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

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

x = 7

Solution steps

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

Apply log rules

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

Solve

(x - 1)^{2} = 4 (x + 2) : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions:

x = 7

True

, x = - 1

False

The solution is

x = 7

lo g_{x} (16) = - 4

ln (x^{2}) = 4

lo g_{x} (\frac{1}{25}) = - 2

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

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

What is the answer to 2ln(x-1)-ln(x+2)=2ln(2) ?
The answer to 2ln(x-1)-ln(x+2)=2ln(2) is x=7
Solve for x: 2ln(x-1)-ln(x+2)=2ln(2)
The solution is x=7