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Popular >

x+ln(x)=0

Solution

x + ln (x) = 0

Solution

x = W_{0} (1)

+1

Decimal

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)

Graph

Popular Examples

2 \cdot lo g_{4} (k) = 4

ln (\frac{x}{5}) + 1 = 0

log_{10}(x)+log_{10}(x+2)=1

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

log_{2}(10+3x)=5

lo g_{2} (10 + 3 x) = 5

log_{2}(1+sqrt(x))=6

lo g_{2} (1 + x) = 6

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)