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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.

Respuesta :

F(x)=2^x
Lets say f(x) is y
Y=2^x
Take log both side
Log(y)=log(2^x)
Logy=log2^256
logy=256×log2
By Log property
Logy=77.06

raphealnwobi

The rope that have a strength of 256 Pascal has 8 strands.

Exponential function

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value of y and b is the multiplier.

Let f represent the strength of a rope with x woven strands.

Given the exponential function:

f(x) = 2ˣ

For a strength of 256 Pascal:

  • 256 = 2ˣ
  • xlog(2) = log(256)
  • x = 8

The rope that have a strength of 256 Pascal has 8 strands.

Find out more on Exponential function at: https://brainly.com/question/12940982

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