What is the answer to 2log_{10}(3x)=0 ?

The answer to 2log_{10}(3x)=0 is x= 1/3

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2log_{10}(3x)=0

2 lo g_{10} (3 x) = 0

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

2 lo g_{10} (3 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

lo g_{10} (3 x) = 0

Solve

lo g_{10} (3 x) = 0 : x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

0.61 = ln (x)

lo g_{10} (\frac{x + 1}{2}) = 3

lo g_{10} (3 x) = ln (x)

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

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