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Question 174103This question is from textbook
: I really need your help I post these question yesterday, but I did not receive an answer please help
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
f(x)= 10^x
f(x)= Inx
Thank you inadvance
This question is from textbook
Answer by SAT Math Tutor(36)   (Show Source):
You can put this solution on YOUR website! Well, you want to work out each function for each value of x so using f(x) = 10^x and g(x) = ln(x), you get:
f(1) = 10
f(2) = 100
f(4) = 10000
f(8) = 100000000
f(16) = 10000000000000000
g(1) = 0
g(2) = 0.69
g(4) = 1.39
g(8) = 2.08
g(16) = 2.77
So, 10^x increases faster the higher x is, but ln(x) increases at a slower rate the higher x goes. It also helps to understand that ln(2^x) = x*ln(2) as this relates all the answers for ln(x).
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