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

The answer to log_{3}(2x)=-2 is x= 1/18

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log_{3}(2x)=-2

lo g_{3} (2 x) = - 2

x = \frac{1}{18}

Decimal Notation

x = 0.05555 \dots

Solution steps

lo g_{3} (2 x) = - 2

Apply log rules

2 x = \frac{1}{9}

Solve

2 x = \frac{1}{9} : x = \frac{1}{18}

x = \frac{1}{18}

y, x^{2} = ln (y) - ln (3)

lo g_{9} (x + 8) + lo g_{9} (x + 7) = 2

0.74 = lo g_{10} (x)

0.77 = lo g_{10} (x)

ln (x^{2} + x + 1) = 0