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Popular >

xln(x)=x

Solution

x ln (x) = x

Solution

x = e

+1

Decimal

x = 2.71828 \dots

Solution steps

x ln (x) = x

Move

x

to the left side

x ln (x) - x = 0

Factor

x ln (x) - x : x (ln (x) - 1)

x (ln (x) - 1) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

x = 0 or ln (x) - 1 = 0

Solve

ln (x) - 1 = 0 : x = e

Verify Solutions:

x = 0

False

, x = e

True

The solution is

x = e

Graph

Popular Examples

log_{10}(x)=0.8531

lo g_{10} (x) = 0.8531

-x=ln((0.02)/(1+x))

- x = ln (\frac{0.02}{1 + x})

3 + 2 ln (x) = 10

ln(x+1)=2+ln(x)

ln (x + 1) = 2 + ln (x)

solvefor x,5x+xln(x)=0 solve for

x, 5 x + x ln (x) = 0

Frequently Asked Questions (FAQ)

What is the answer to xln(x)=x ?
The answer to xln(x)=x is x=e
Solve for x: xln(x)=x
The solution is x=e