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Popular >

x=xln(x)

Solution

x = x ln (x)

Solution

x = e

+1

Decimal Notation

x = 2.71828 \dots

Solution steps

x = x ln (x)

Switch sides

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

Popular Examples

ln (4 x - 1) = 2

log_{4}(4x)-log_{4}(x-6)=2

lo g_{4} (4 x) - lo g_{4} (x - 6) = 2

ln (x) = - 4.3178

x = ln (3.2 x 1 0^{4})

log_{2}(x)-8log_{10}(x)+15=0

lo g_{2} (x) - 8 lo g_{10} (x) + 15 = 0

Frequently Asked Questions (FAQ)

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