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Why is 8^x=2 simplified to 1/3

furgil2  Mar 1, 2017
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 #1
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Why is 8^x=2 simplified to 1/3

 

8^x = 2 take the log of both sides

x log(8) = log(2)

x =log(2) / log(8)

x = 1/3

Guest Mar 1, 2017
 #2
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8^x = 2    and we can write

 

(2 ^3)^x  = 2^1

 

2^(3x) =  2^1       now.......equate exponents

 

3x =   1          divide both sides by 3

 

x = 1/3

 

 

cool cool cool

CPhill  Mar 1, 2017

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