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

The answer to x-3+2ln(x)=0 is x=2\W_{0}((e^{3/2})/2)

Solve for x: x-3+2ln(x)=0

The solution is x=2\W_{0}((e^{3/2})/2)

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x - 3 + 2 ln (x) = 0

x = 2 W_{0} (\frac{e ^{\frac{3}{2}}}{2})

Decimal Notation

x = 1.81159 \dots

Solution steps

x - 3 + 2 ln (x) = 0

Move

x

to the right side

- 3 + 2 ln (x) = - x

Move

3

to the right side

2 ln (x) = - x + 3

Divide both sides by

2

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

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{l n (x)} = e^{\frac{- x + 3}{2}}

Simplify

e^{l n (x)} : x

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

Solve

x = e^{\frac{- x + 3}{2}} : x = 2 W_{0} (\frac{e ^{\frac{3}{2}}}{2})

x = 2 W_{0} (\frac{e ^{\frac{3}{2}}}{2})

Verify Solutions:

x = 2 W_{0} (\frac{e ^{\frac{3}{2}}}{2})

True

The solution is

x = 2 W_{0} (\frac{e ^{\frac{3}{2}}}{2})

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

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

3 lo g_{10} (x - 2) = 10

lo g_{5} (x) = 25

1 + ln (\frac{x}{2}) = x

What is the answer to x-3+2ln(x)=0 ?
The answer to x-3+2ln(x)=0 is x=2\W_{0}((e^{3/2})/2)
Solve for x: x-3+2ln(x)=0
The solution is x=2\W_{0}((e^{3/2})/2)