What is the answer to x(1-ln(x))=0 ?

The answer to x(1-ln(x))=0 is x=e

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x(1-ln(x))=0

x (1 - ln (x)) = 0

x = e

Decimal Notation

x = 2.71828 \dots

Solution steps

x (1 - ln (x)) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Verify Solutions:

x = 0

False

, x = e

True

The solution is

x = e

lo g_{2} (x) = 3.6 \cdot 1 0^{13}

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

lo g_{x} (\frac{16}{625}) = 4

ln (4 x) - ln (x^{6}) = ln (2)

e \cdot ln (x - 10) = x - 10