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

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

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

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

x = 3

Solution steps

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

Apply log rules

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

Solve

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

x = 3, x = - 6

Verify Solutions:

x = 3

True

, x = - 6

False

The solution is

x = 3

lo g_{2} (x + 5) = 3 - lo g_{2} (x + 7)

lo g_{2} (x) + lo g_{2} (- 4 x + 12) = 3

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

lo g_{5} (x) = 1

lo g_{\frac{2}{3}} (x) = - 2

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