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.

 is the equation in  logarithmic function when strength is 256 Pascals and x = 8.

Step-by-step explanation:

Given:  The data are represented by the exponential function where x is the number of woven strands.

We have to convert this equation to a logarithmic function when strength is 256 Pascals.

Consider the given exponential function

To convert equation to a logarithmic function

if then to convert it into logarithmic function as

That is here ,  then in logarithmic

Now given the strength is 256 pascals.

That is f(x) = 256 pascals.

We have,

Solving Left side of above equation

Writing 256 in base power from as

Apply log rule,

we have,

again apply log rule,

= 8

Thus, x = 8

 is the equation in  logarithmic function when strength is 256 Pascals and x = 8.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

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step-by-step explanation: