What is the answer to 2ln(x)=ln(6-x)+ln(3) ?

The answer to 2ln(x)=ln(6-x)+ln(3) is x=3

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2ln(x)=ln(6-x)+ln(3)

2 ln (x) = ln (6 - x) + ln (3)

x = 3

Solution steps

2 ln (x) = ln (6 - x) + ln (3)

Apply log rules

x^{2} = (6 - x) \cdot 3

Solve

x^{2} = (6 - x) \cdot 3 : x = 3, x = - 6

x = 3, x = - 6

Verify Solutions:

x = 3

True

, x = - 6

False

The solution is

x = 3

lo g_{10} (x) = \frac{1}{2}

lo g_{x} (512) = 3

lo g_{x} (5) = \frac{1}{3}

3 ln (t) = 5

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

What is the answer to 2ln(x)=ln(6-x)+ln(3) ?
The answer to 2ln(x)=ln(6-x)+ln(3) is x=3
Solve for x: 2ln(x)=ln(6-x)+ln(3)
The solution is x=3