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Popular >

x^{ln(x)}=x

Solution

x^{l n (x)} = x

Solution

x = e

+1

Decimal

x = 2.71828 \dots

Solution steps

x^{l n (x)} = x

Apply exponent rules

ln (x) = 1

Apply log rules

x = e

Verify Solutions:

x = e

True

The solution is

x = e

Graph

Popular Examples

log_{4}(2x-1)=1

lo g_{4} (2 x - 1) = 1

log_{3}(7x-5)=2

lo g_{3} (7 x - 5) = 2

log_{10}(x)=log_{10}(3)+1

lo g_{10} (x) = lo g_{10} (3) + 1

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

lo g_{\frac{1}{5}} (2 x - 3) = - 2

log_{10}(2x+8)=2

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

Frequently Asked Questions (FAQ)

What is the answer to x^{ln(x)}=x ?
The answer to x^{ln(x)}=x is x=e
Solve for x: x^{ln(x)}=x
The solution is x=e