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

The answer to 2ln(3x-3)=3 is x=(e^{3/2}+3)/3

Solve for x: 2ln(3x-3)=3

The solution is x=(e^{3/2}+3)/3

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2 ln (3 x - 3) = 3

x = \frac{e ^{\frac{3}{2}} + 3}{3}

Decimal Notation

x = 2.49389 \dots

Solution steps

2 ln (3 x - 3) = 3

Divide both sides by

2

ln (3 x - 3) = \frac{3}{2}

Apply log rules

3 x - 3 = e^{\frac{3}{2}}

Solve

3 x - 3 = e^{\frac{3}{2}} : x = \frac{e ^{\frac{3}{2}} + 3}{3}

x = \frac{e ^{\frac{3}{2}} + 3}{3}

Verify Solutions:

x = \frac{e ^{\frac{3}{2}} + 3}{3}

True

The solution is

x = \frac{e ^{\frac{3}{2}} + 3}{3}

2 lo g_{2} (x) - 3 lo g_{x} (2) + 5 = 0

e^{2 l n (x)} = x^{2}

5 = lo g_{10} (2 x) - lo g_{10} (x + 1)

0.2 = - lo g_{10} (x)

lo g_{2} (11 - x) = lo g_{2} (x + 1) + 3

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