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.

Taking logarithm on both sides with base 2, she can convert the equation to a logarithmic function to get the solution x = 8.

Step-by-step explanation:

We are given that,

The function representing the strength of the rope in Pascals is given by,

Now, the strength is given to be 256 Pascals i.e. .

So, the relation becomes,

As, we know, can be converted by taking 'log with base b' to .

Taking logarithm with base 2 on both sides, we get,

i.e.

i.e.

i.e. x = 8

Thus, taking logarithm on both sides with base 2, she can convert the equation to a logarithmic function.

1/800 is the right answer

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !