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

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

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

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

x = 1

Solution steps

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

Apply log rules

x (x + 1) = 2

Solve

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

x = 1, x = - 2

Verify Solutions:

x = 1

True

, x = - 2

False

The solution is

x = 1

lo g_{2} (x) = 20

ln (d) = ln (x) + 1

lo g_{6} (x) = 2 - lo g_{6} (x - 5)

lo g_{9} (8 x - 15) = 0

x, y = 10 lo g_{10} (x)

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