Question

(07.02 MC) 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.

Answer 1

F(x) = 2x is not an exponential function. If you meant f(x) = 2^x, then
log_2 (strength) = x.
There are 8 strands in the rope when the strength is 256 Pascals

Answer 2

Function: f(x) = 2ˣ

2ˣ = 256

2⁸ = 256

We know, logₐ (b) = x

So, Logarithm function would be: log₂ (256) = 8

Hope this helps!