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y=21.665x^-0.264

find x if y=50

 Apr 4, 2017
 #1
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Set y to be 50 and then take logs of both sides.

 

50 = 21.665x-0.264

 

ln(50) = ln(21.665) - 0.264lnx   using the properties of logs.

 

Rearrange:   lnx = (ln(21.665) - ln(50))/0.264

 

x = e(ln(21.665) - ln(50))/0.264

 Apr 4, 2017

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