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Popular >

ln|x|-x=0

Solution

ln ∣ x ∣ - x = 0

Solution

x = - W_{0} (1)

+1

Solution steps

ln ∣ x ∣ - 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 (2 b) = ln (4 b)

2+log_{3}(x-1)=log_{3}(x),x

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

log_{10}(x)=4.78

lo g_{10} (x) = 4.78

log_{x}(16)= 1/2

lo g_{x} (16) = \frac{1}{2}

ln(x)=8.077133955

ln (x) = 8.077133955

Frequently Asked Questions (FAQ)

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