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-100 * 2^(0.5y) = -5

Which of the following is the solution of the equation?

 Apr 24, 2019
 #1
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-100 * 2^(0.5y)  = -5   divide both sides by -100

 

2^(0.5y)  =  -5/-100  = 1/20    take the log of both sides

 

log 2^(0.5y)  = log (1/20)      and we can write

 

(0.5y) * log 2  = log (1/20)

 

y  =  log(1/20) / (0.5* log 2 ]

 

y = (1/0.5) *  log (1/20) / log 2         reverse the change-of-base theorem

 

y =  2  * log2  (1/20)

 

 

cool cool cool

 Apr 24, 2019

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