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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

ln(3x-5)+ln(3x-7)=3ln(2)

ln (3 x - 5) + ln (3 x - 7) = 3 ln (2)

0.51=log_{10}(x)

0.51 = lo g_{10} (x)

log_{6}(3x+2)+log_{6}(x-5)=1

lo g_{6} (3 x + 2) + lo g_{6} (x - 5) = 1

-1.2=log_{10}(x)

- 1.2 = lo g_{10} (x)

log_{5}(x)=9log_{x}(5)

lo g_{5} (x) = 9 lo g_{x} (5)

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)