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Popular >

x=-ln(x)

Solution

x = - ln (x)

Solution

x = W_{0} (1)

+1

Decimal Notation

x = 0.56714 \dots

Solution steps

x = - ln (x)

Move

ln (x)

to the left side

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

lo g_{4} (x) = 10

ln (x) + ln (3 x) = 6

ln (x) + ln (3 x) = 4

solvefor x,y+4=6ln(4x+6)+2 solve for

x, y + 4 = 6 ln (4 x + 6) + 2

ln (x) + ln (3 x) = 8

Frequently Asked Questions (FAQ)

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