What is the answer to 2ln(x)-ln(x-1)=ln(4) ?

The answer to 2ln(x)-ln(x-1)=ln(4) is x=2

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

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

x = 2

Solution steps

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

Apply log rules

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

Solve

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

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

3.5 = 1.5 + lo g_{3} (x + 1)

lo g_{10} (3 x) = 4

lo g_{3} (y^{2}) + lo g_{3} (y) = 6

ln (ln (2 x)) = 0

(ln (x))^{6} = 6 ln (x)

What is the answer to 2ln(x)-ln(x-1)=ln(4) ?
The answer to 2ln(x)-ln(x-1)=ln(4) is x=2
Solve for x: 2ln(x)-ln(x-1)=ln(4)
The solution is x=2