What is the answer to 2ln(x+1)=ln(2x+3) ?

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

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2ln(x+1)=ln(2x+3)

2 ln (x + 1) = ln (2 x + 3)

x = 2

Decimal Notation

x = 1.41421 \dots

Solution steps

2 ln (x + 1) = ln (2 x + 3)

Apply log rules

(x + 1)^{2} = 2 x + 3

Solve

(x + 1)^{2} = 2 x + 3 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

ln (x) = 0.95

ln (3) + ln (x - 1) = - 1

lo g_{a} (\frac{4}{9}) = 2

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

\frac{2 lo g _{2} ( x ) - 3}{3} = 1

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