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Popular >

x+ln(x)=0

Solution

x + ln (x) = 0

Solution

x = W_{0} (1)

+1

Decimal Notation

x = 0.56714 \dots

Solution steps

x + ln (x) = 0

Move

x

to the right side

ln (x) = - x

If

f (x) = g (x),

then

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

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

Simplify

e^{l n (x)} : x

x = e^{- x}

Solve

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

x = W_{0} (1)

Verify Solutions:

x = W_{0} (1)

True

The solution is

x = W_{0} (1)

Popular Examples

ln (y) + 1 = 0

ln (5 x + 3) = 6

ln(5x)-2ln(x^2)=0

ln (5 x) - 2 ln (x^{2}) = 0

log_{2}(x+4)=log_{2}(x-2)+3

lo g_{2} (x + 4) = lo g_{2} (x - 2) + 3

log_{3-2x}(6x^2-11x+6)=2

lo g_{3 - 2 x} (6 x^{2} - 11 x + 6) = 2

Frequently Asked Questions (FAQ)

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