What Is A Logarithm Worksheet printable pdf download

What Is A Logarithm Worksheet

You have learned how to “undo” many different functions. However, the exponential function has

posed some difficulty. In this lesson, you will learn more about the inverse exponential function. In

particular, you will learn how to write an inverse exponential function in y = form.



5-68. SILENT BOARD GAME

Your teacher will put an x→y table on the SMARTBoard that the whole class will work together to

complete. The table will be like the one below. See which values you can fill in.

a. Describe an equation that relates x and g(x).

b. Look back to the Ancient Puzzle in problem 5-57 from yesterday’s lesson. If you have not

already done so, use the idea of the Ancient Puzzle to write an equation for g(x).

c. Why was it difficult to think of an output for the input of 0 or −1?

d. Find an output for x = 25 to the nearest hundredth.



5-69. ANOTHER LOGARITHM TABLE

Lynn was supposed to fill in this table for g(x) = log

x. She thought she could use the log button on

her calculator, but when she tried to enter 5, 25, and 125, she did not get the ouputs the table below

displays. She was fuming over how long it was going to take to guess and check each one when her

sister suggested that she did not have to do that for all of them. She could fill in a few more and

then use what she knew about exponents to figure out some of the others.

a. Discuss with your team which outputs can be filled in without a calculator. Fill those in and

explain how you found these entries.

b. With your team, use your calculator to estimate the remaining values of g(x) to the nearest

hundredth. Once you have entered several, use your knowledge of exponent rules to see if

you can find any shortcuts.

c. What do you notice about the results for g(x) as x increases?

d. Use your table to draw the graph of y = log

x. How does your graph compare to the graph

of y = 5

What Is A Logarithm Worksheet