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

The answer to 0=x+2ln(x) is x=2\W_{0}(1/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0=x+2ln(x)

0 = x + 2 ln (x)

x = 2 W_{0} (\frac{1}{2})

Decimal

x = 0.70346 \dots

Solution steps

0 = x + 2 ln (x)

Switch sides

x + 2 ln (x) = 0

Move

x

to the right side

2 ln (x) = - x

Divide both sides by

2

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

f (x) = g (x),

then

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

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

Simplify

e^{l n (x)} : x

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

Solve

x = e^{- \frac{x}{2}} : x = 2 W_{0} (\frac{1}{2})

x = 2 W_{0} (\frac{1}{2})

Verify Solutions:

x = 2 W_{0} (\frac{1}{2})

True

The solution is

x = 2 W_{0} (\frac{1}{2})

8 x^{7} ln (x) + x^{7} = 0

a, lo g_{a} (3) = 0.44

lo g_{7} (2 x + 25) = 2

x = ln (1 + n)

lo g_{10} (x - 1) = 2 lo g_{10} (3)