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

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

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

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

x = \frac{3}{2}

Decimal

x = 1.5

Solution steps

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

Apply log rules

x^{2} \cdot 2 = x + 3

Solve

x^{2} \cdot 2 = x + 3 : x = \frac{3}{2}, x = - 1

x = \frac{3}{2}, x = - 1

Verify Solutions:

x = \frac{3}{2}

True

, x = - 1

False

The solution is

x = \frac{3}{2}

lo g_{4} (x^{2} - 15 x) = 2

lo g_{2} (5 y^{2} + 2 y - 8) = 4

lo g_{10} (4) + lo g_{10} (5 x) = 2

lo g_{\frac{1}{3}} (x) = - 4

\frac{x}{2 - lo g _{2} ( x )} = 0

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