What is the answer to 9/8 log_{2}(x)=-4 ?

The answer to 9/8 log_{2}(x)=-4 is x= 1/(8*2^{5/9)}

Solve for x: 9/8 log_{2}(x)=-4

The solution is x= 1/(8*2^{5/9)}

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\frac{9}{8} lo g_{2} (x) = - 4

x = \frac{1}{8 \cdot 2 ^{\frac{5}{9}}}

Decimal Notation

x = 0.08504 \dots

Solution steps

\frac{9}{8} lo g_{2} (x) = - 4

Multiply both sides by

8

9 lo g_{2} (x) = - 32

Divide both sides by

9

lo g_{2} (x) = - \frac{32}{9}

Apply log rules

x = \frac{1}{8 \cdot 2 ^{\frac{5}{9}}}

Verify Solutions:

x = \frac{1}{8 \cdot 2 ^{\frac{5}{9}}}

True

The solution is

x = \frac{1}{8 \cdot 2 ^{\frac{5}{9}}}

2 + ln (x + 1) = 0

25 = 10 lo g_{10} (S)

ln (4) + ln (x + 2) = ln (9)

0 = 80 - 9 lo g_{10} (t + 1)

lo g_{27} (x) = \frac{- 1}{3}

What is the answer to 9/8 log_{2}(x)=-4 ?
The answer to 9/8 log_{2}(x)=-4 is x= 1/(8*2^{5/9)}
Solve for x: 9/8 log_{2}(x)=-4
The solution is x= 1/(8*2^{5/9)}