What is the answer to 5ln(x)-x=0 ?

The answer to 5ln(x)-x=0 is x=-5\W_{-1}(-1/5),x=-5\W_{0}(-1/5)

Solve for x: 5ln(x)-x=0

The solution is x=-5\W_{-1}(-1/5),x=-5\W_{0}(-1/5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 ln (x) - x = 0

x = - 5 W_{- 1} (- \frac{1}{5}), x = - 5 W_{0} (- \frac{1}{5})

Decimal Notation

x = 12.71320 \dots, x = 1.29585 \dots

Solution steps

5 ln (x) - x = 0

Move

x

to the right side

5 ln (x) = x

Divide both sides by

5

ln (x) = \frac{x}{5}

f (x) = g (x),

then

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

e^{l n (x)} = e^{\frac{x}{5}}

Simplify

e^{l n (x)} : x

x = e^{\frac{x}{5}}

Solve

x = e^{\frac{x}{5}} : x = - 5 W_{- 1} (- \frac{1}{5}), x = - 5 W_{0} (- \frac{1}{5})

x = - 5 W_{- 1} (- \frac{1}{5}), x = - 5 W_{0} (- \frac{1}{5})

Verify Solutions:

x = - 5 W_{- 1} (- \frac{1}{5})

True

, x = - 5 W_{0} (- \frac{1}{5})

True

The solutions are

x = - 5 W_{- 1} (- \frac{1}{5}), x = - 5 W_{0} (- \frac{1}{5})

- 14 = lo g_{7} (\frac{2 b}{14 b})

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

ln (2 x - 1) = 1

ln (2 x - 1) = 5

lo g_{2} (n) = 1000

What is the answer to 5ln(x)-x=0 ?
The answer to 5ln(x)-x=0 is x=-5\W_{-1}(-1/5),x=-5\W_{0}(-1/5)
Solve for x: 5ln(x)-x=0
The solution is x=-5\W_{-1}(-1/5),x=-5\W_{0}(-1/5)