What is the answer to 1/3 log_{2}(x)=-3 ?

The answer to 1/3 log_{2}(x)=-3 is x= 1/512

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1/3 log_{2}(x)=-3

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

x = \frac{1}{512}

Decimal Notation

x = 0.001953125

Solution steps

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

Multiply both sides by

3

lo g_{2} (x) = - 9

Apply log rules

x = \frac{1}{512}

Verify Solutions:

x = \frac{1}{512}

True

The solution is

x = \frac{1}{512}

lo g_{3} (x) = 81

lo g_{2} (5 x + 7) = 3

3 ln ((x + 2)^{3}) = 9 ln (x + 2)

ln (x) = 0.61

ln (3 x - 14) = 2

What is the answer to 1/3 log_{2}(x)=-3 ?
The answer to 1/3 log_{2}(x)=-3 is x= 1/512
Solve for x: 1/3 log_{2}(x)=-3
The solution is x= 1/512