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

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

Solve for x: log_{3}(x)=(-3)/2

The solution is x= 1/(3sqrt(3))

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

x = \frac{1}{3 3}

Decimal Notation

x = 0.19245 \dots

Solution steps

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

Apply log rules

x = \frac{1}{3 3}

lo g_{25} (2 x - 1) = \frac{1}{2}

lo g_{10} (x) = 4

ln (x - 1) = 4

lo g_{6} (x - 3) + lo g_{6} (x - 8) = 2

lo g_{\frac{1}{2}} (x) - lo g_{\frac{1}{2}} (3 - x) = 0

What is the answer to log_{3}(x)=(-3)/2 ?
The answer to log_{3}(x)=(-3)/2 is x= 1/(3sqrt(3))
Solve for x: log_{3}(x)=(-3)/2
The solution is x= 1/(3sqrt(3))