What is the answer to xln(2x)=0 ?

The answer to xln(2x)=0 is x= 1/2

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xln(2x)=0

x ln (2 x) = 0

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

x ln (2 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or ln (2 x) = 0

Solve

ln (2 x) = 0 : x = \frac{1}{2}

Verify Solutions:

x = 0

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

x, ln (x) + ln (x - 7) = 0

9 = 10 lo g_{10} (\frac{x}{1})

lo g_{343} (x) = - \frac{1}{3}

lo g_{10} (10) + lo g_{10} (x - 9) = 1

- 3 x + 9 = lo g_{10} (x)