Know how to do these problems without a calculator:

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Buddy Time ___________________________________
1. Graph y  10x and fill in the table.
x
y  10x
-3
0
1
2
2.5
3
2. Fill in the following table using the log function on your calculator. You may
have to go to catalogue and find it.
x
1
10
100
1000
-10
316.228
Log x
Log 100 = 2 because 102  100 . When you type “log 100” into your calculator, you are
asking the calculator, “10 to the what power is 100”
Log 1 = ____________
because: ____________________________
Log 10 = ___________
because: ____________________________
Log 100 = __________
because: 10 2  100 (I did this as an example)
Log 1000 = _________
because: ____________________________
Log 316.228 = _________ because: ____________________________
4. Remember: When you type into your calculator, “Log 6”, you are asking the
calculator, “10 raised to the what power is 6?”
What is Log (-2)? _______________________
Why is Log (-2) imaginary?
5. Graph the following:
y1  10 x
Also graphed is the line y = x. Take the time to
y2  log x
make it somewhat accurate and neat. Plot the following coordinates and fill in the chart.
x
1
2
3
4
10 x
x
10
100
1000
10000
log x
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