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solve for x

2900 * (1/2)^x = 5.66

 Mar 21, 2016
 #1
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Solve for x over the real numbers:

725 2^(2-x) = 5.66

5.66 = 283/50:

725 2^(2-x) = 283/50

Divide both sides by 725:

2^(2-x) = 283/36250

Take reciporicals of both sides:

2^(x-2) = 36250/283

Take the logarithm base 2 of both sides:

x-2 = (log(36250/283))/(log(2))

Add 2 to both sides:

Answer: | x = 2+(log(36250/283))/(log(2))=~9

 Mar 22, 2016

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