Zander wants to find out what the most popular sporting event is in the district’s high schools. he surveys a sample of the population. under which condition is surveying a sample valid?
the population is small.
the population contains a large diverse group of people.
there are many different possible answers to the question.
there are some people in the population that do not like sports.

Option ii is right

Step-by-step explanation:

Given that Zander wants to find out what the most popular sporting event is in the district’s high schools.He surveys a sample of the population.

If the population is small, then he need not survey sample but can survey entire population to get accurate results.  Hence option i is wrong

The population contains a large diverse group of people.-- This option is right, because only when population is large and diverse sampling is resorted to since full survey is not possible.

Option iii is wrong since even if one answer is possible, sampling can be conducted.

Option iv is wrong because just because there are some people who do not like sports, sampling need not be valid.

you need to add a picture

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: