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Question 1. 

Find x such that logx81=log216.

 

Question 2.

Suppose that f(x) and g(x) are functions on R such that the range of f is [-5, 3], and the range of g is [-2, 1]. The range of f(x)g(x) is [a, b]. What is the largest possible value of b?

 Jan 21, 2021
 #1
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Question 1:

log216 is equal to 4, because 24=16.

So now, we are trying to find what x satisfies x4=81, so x=3.

Question 2:

For the biggest value of b, we need to find 2 values in the ranges of f(x) and g(x) that, when multiplied together, results in the biggest possible result. That would be 52=10

 Jan 21, 2021
edited by textot  Jan 21, 2021
edited by textot  Jan 21, 2021
 #2
avatar+367 
+1

Thank you so much for your help. I can comprehend these questions so much better now. Thank You!!!

 Jan 21, 2021

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