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Popular >

ln|x|=x

Solution

ln ∣ x ∣ = x

Solution

x = - W_{0} (1)

+1

Decimal Notation

x = - 0.56714 \dots

Solution steps

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_{3} (x + 6) = 2

log_{2}(x+15)=4

lo g_{2} (x + 15) = 4

log_{16}(log_{2}(x))=0.5

lo g_{16} (lo g_{2} (x)) = 0.5

log_{5}(3x-7)=1

lo g_{5} (3 x - 7) = 1

log_{10}(2x-5)=0

lo g_{10} (2 x - 5) = 0

Frequently Asked Questions (FAQ)

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