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

The answer to x-3ln(x)=0 is x=-3\W_{-1}(-1/3),x=-3\W_{0}(-1/3)

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

The solution is x=-3\W_{-1}(-1/3),x=-3\W_{0}(-1/3)

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x - 3 ln (x) = 0

x = - 3 W_{- 1} (- \frac{1}{3}), x = - 3 W_{0} (- \frac{1}{3})

Decimal

x = 4.53640 \dots, x = 1.85718 \dots

Solution steps

x - 3 ln (x) = 0

Move

x

to the right side

- 3 ln (x) = - x

Divide both sides by

- 3

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

f (x) = g (x),

then

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

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

Simplify

e^{l n (x)} : x

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

Solve

x = e^{\frac{x}{3}} : x = - 3 W_{- 1} (- \frac{1}{3}), x = - 3 W_{0} (- \frac{1}{3})

x = - 3 W_{- 1} (- \frac{1}{3}), x = - 3 W_{0} (- \frac{1}{3})

Verify Solutions:

x = - 3 W_{- 1} (- \frac{1}{3})

True

, x = - 3 W_{0} (- \frac{1}{3})

True

The solutions are

x = - 3 W_{- 1} (- \frac{1}{3}), x = - 3 W_{0} (- \frac{1}{3})

lo g_{4} ((n + 3)^{4}) = 4

lo g_{9} (2 x - 3) = \frac{1}{2}

y, ln (x) \cdot y - 1 = 0

ln (x^{2}) + ln (x^{3}) + ln (x^{5}) = 10

lo g_{- 2 x - 3} (3 x^{2} + 2 x - 15) = 2

What is the answer to x-3ln(x)=0 ?
The answer to x-3ln(x)=0 is x=-3\W_{-1}(-1/3),x=-3\W_{0}(-1/3)
Solve for x: x-3ln(x)=0
The solution is x=-3\W_{-1}(-1/3),x=-3\W_{0}(-1/3)