SOLUTION: 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. Desc

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).
RELATED QUESTIONS
Please forgive me for submitting this problem again, but my computer had a glitch and... (answered by Alan3354)

Somebody please help me answer this question. I have until tonight to come up with an... (answered by josmiceli)

I need and explanation for two questions I posted up for help yesterday. Answers and... (answered by nerdybill,solver91311)

I need help with my homework that involves radicals. I am having a little bit of trouble... (answered by Earlsdon)

"Frozen (quater-pound) hamburger patties cost $5.80 for 12. How many can be purchased for (answered by solver91311)

i need help with finding an equation for a graph i have, but im not sure how to post a... (answered by troyapplehelen)

I need help with a discussion board post. Please help thank An understanding of... (answered by stanbon)

Find an application for your chosen field--- which is psychology or really anything-- or (answered by ankor@dixie-net.com)

Please i have tried to solve this equation but i did not get it so i really need help... (answered by josgarithmetic)