What is the answer to ln(3-2x)-2ln(x)=0 ?

The answer to ln(3-2x)-2ln(x)=0 is x=1

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ln(3-2x)-2ln(x)=0

ln (3 - 2 x) - 2 ln (x) = 0

x = 1

Solution steps

ln (3 - 2 x) - 2 ln (x) = 0

Apply log rules

3 - 2 x = x^{2}

Solve

3 - 2 x = x^{2} : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions:

x = 1

True

, x = - 3

False

The solution is

x = 1

3 = ln (x)

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

0.64 = lo g_{10} (x)

y^{3 l o g_{10} (y)} = 100 y

lo g_{x} (27) = \frac{3}{4}

What is the answer to ln(3-2x)-2ln(x)=0 ?
The answer to ln(3-2x)-2ln(x)=0 is x=1
Solve for x: ln(3-2x)-2ln(x)=0
The solution is x=1