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Answers and Explanations'); parent.frames[0].document.write('

The problems you missed are listed below with answers and explanations.  Look over the explanation for each problem so you can understand why you missed it!

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'); resetdisplay(); for(var i = 0; i <5; i++) { ganswer[i] = prompt(question[i],""); if (ganswer[i] == "quit" || ganswer[i] == "QUIT" || ganswer[i] == "Quit") { break; } q++; if (ganswer[i] == answer[i]) { c++; } else { rightans[i] = 0; w++; } resetdisplay(); } for(var i = 0; i < 10; i++) { if (rightans[i] == 0) { expl = expl + explain[i]; } } parent.frames[0].document.write(expl); parent.frames[0].document.write(""); } question[0] = 'Given that g(x) and f(x) are inverse functions, if I take f(g(2)) what should my answer be?'; question[1] = 'Can you convert between log form and exponent form?'; question[2] = 'Logs are given a specific base, what is the base of the log that is refered to as the natural log or ln?'; question[3] = 'Besides base e what is the next most common base for logs?'; question[4] = 'When solving an equation such as (3^x = 8) what operation should you use in order to isolate the variable?'; answer[0] = '2'; answer[1] = 'yes'; answer[2] = 'e'; answer[3] = '10'; answer[4] = 'log'; explain[0] = "#1

Inverse functions undo each other. If you put 2 into one, you'll get some other answer, then if you put it into the other, it will return the value of 2. So f(g(2)) is 2.

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Converting between log and exponent form is one of the basics of log function that everyone must learn.

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ln is defined as being Log base e. the number e is a number that appears often in calculus, this is why it is referred to as the "Natural Log" because the number e seems to appear often "Naturally".

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On your calculator there are usually 2 different log buttons, one is labeled ln which is "Natural Log" or Log base e. The other is the next most commonly used log. It is labeled simply as Log and is log base 10.

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If you take the Log of an equation with x in the exponent, you can use the properties of logs to convert it into a form that you can solve.

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