document.write( "Question 174103This question is from textbook
\n" ); document.write( ": I really need your help I post these question yesterday, but I did not receive an answer please help\r
\n" ); document.write( "\n" ); document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "f(x)= 10^x
\n" ); document.write( "f(x)= Inx\r
\n" ); document.write( "\n" ); document.write( "Thank you inadvance\r
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Algebra.Com's Answer #129016 by SAT Math Tutor(36)\"\" \"About 
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:\r
\n" ); document.write( "\n" ); document.write( "f(1) = 10
\n" ); document.write( "f(2) = 100
\n" ); document.write( "f(4) = 10000
\n" ); document.write( "f(8) = 100000000
\n" ); document.write( "f(16) = 10000000000000000\r
\n" ); document.write( "\n" ); document.write( "g(1) = 0
\n" ); document.write( "g(2) = 0.69
\n" ); document.write( "g(4) = 1.39
\n" ); document.write( "g(8) = 2.08
\n" ); document.write( "g(16) = 2.77\r
\n" ); document.write( "\n" ); document.write( "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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