What is the answer to 9/8 log_{2}(x)=-10 ?

The answer to 9/8 log_{2}(x)=-10 is x= 1/(256*2^{8/9)}

Solve for x: 9/8 log_{2}(x)=-10

The solution is x= 1/(256*2^{8/9)}

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\frac{9}{8} lo g_{2} (x) = - 10

x = \frac{1}{256 \cdot 2 ^{\frac{8}{9}}}

Decimal Notation

x = 0.00210 \dots

Solution steps

\frac{9}{8} lo g_{2} (x) = - 10

Multiply both sides by

8

9 lo g_{2} (x) = - 80

Divide both sides by

9

lo g_{2} (x) = - \frac{80}{9}

Apply log rules

x = \frac{1}{256 \cdot 2 ^{\frac{8}{9}}}

Verify Solutions:

x = \frac{1}{256 \cdot 2 ^{\frac{8}{9}}}

True

The solution is

x = \frac{1}{256 \cdot 2 ^{\frac{8}{9}}}

lo g_{a} (3) = 0.565

lo g_{10} (\frac{x}{3} + 50) = 2

lo g_{10} (\frac{x}{5}) + 3 = 5.3

ln (1 - x) = \frac{1}{3}

50 = 11.936 ln (x) + 13.954

What is the answer to 9/8 log_{2}(x)=-10 ?
The answer to 9/8 log_{2}(x)=-10 is x= 1/(256*2^{8/9)}
Solve for x: 9/8 log_{2}(x)=-10
The solution is x= 1/(256*2^{8/9)}