What is the answer to xln(5x)=0 ?

The answer to xln(5x)=0 is x= 1/5

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xln(5x)=0

x ln (5 x) = 0

x = \frac{1}{5}

Solution steps

x ln (5 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or ln (5 x) = 0

Solve

ln (5 x) = 0 : x = \frac{1}{5}

Verify Solutions:

x = 0

False

, x = \frac{1}{5}

True

The solution is

x = \frac{1}{5}

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

lo g_{e} (x) = 5

lo g_{5} (x + 5) = 4

lo g_{a} (x - 2) = 2

ln (e x^{3}) = 3