What is the answer to 5log_{2}(x)=-2 ?

The answer to 5log_{2}(x)=-2 is x= 1/(2^{2/5)}

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5log_{2}(x)=-2

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

x = \frac{1}{2 ^{\frac{2}{5}}}

Decimal Notation

x = 0.75785 \dots

Solution steps

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

Divide both sides by

5

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

Apply log rules

x = \frac{1}{2 ^{\frac{2}{5}}}

Verify Solutions:

x = \frac{1}{2 ^{\frac{2}{5}}}

True

The solution is

x = \frac{1}{2 ^{\frac{2}{5}}}

lo g_{10} (1 + x) = 0.599

4 ln (4 - 3 x) = 12

5 + 6 \cdot lo g_{2} (x) = 14

2 lo g_{3} (x + 4) = 4

6.94 = ln (\frac{x}{100})

What is the answer to 5log_{2}(x)=-2 ?
The answer to 5log_{2}(x)=-2 is x= 1/(2^{2/5)}
Solve for x: 5log_{2}(x)=-2
The solution is x= 1/(2^{2/5)}