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

The answer to 2ln(sqrt(x))-ln(1-x)=2 is x=(e^2)/(1+e^2)

Solve for x: 2ln(sqrt(x))-ln(1-x)=2

The solution is x=(e^2)/(1+e^2)

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

x = \frac{e ^{2}}{1 + e ^{2}}

Solution steps

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

Apply log rules

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

Solve

x = e^{2} (1 - x) : x = \frac{e ^{2}}{1 + e ^{2}}

x = \frac{e ^{2}}{1 + e ^{2}}

Verify Solutions:

x = \frac{e ^{2}}{1 + e ^{2}}

True

The solution is

x = \frac{e ^{2}}{1 + e ^{2}}

ln (x + 3) = 2

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

lo g_{2} (x^{2} - x - 2) = 2

lo g_{10} (x) + lo g_{10} (x - 5) = 1

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

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