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Wendy is looking over some data regarding the strength, measured in Pascals (Pa), of some rope and how the strength relates to the number of woven strands in the rope. The data are represented by the exponential function f(x) = 2x, where x is the number of woven strands. Explain how she can convert this equation to a logarithmic function when strength is 256 Pascals.

 Apr 21, 2016
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If the exponential function is  f(x)  = 2x, then the log function would be:

 

log2 f(x)  = x

 

So....when f(x)   = 256, we have

 

log2 256   =  x    =  8

 

 

cool cool cool

 Apr 21, 2016

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