What is the answer to x(2ln(x)-1)=0 ?

The answer to x(2ln(x)-1)=0 is x=sqrt(e)

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x(2ln(x)-1)=0

x (2 ln (x) - 1) = 0

x = e

Decimal Notation

x = 1.64872 \dots

Solution steps

x (2 ln (x) - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 ln (x) - 1 = 0

Solve

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

Verify Solutions:

x = 0

False

, x = e

True

The solution is

x = e

lo g_{4} (x - 3) + lo g_{4} (x + 60) = 3

lo g_{x} (x) = 0.4

ln (2) + ln (x - 3) = 4

1 = ln (a)

ln (x) + ln (x + 6) = 2 i n^{9}