I looked in the instructional book that came on the calculator and it said to type on the problem and then select logbase and put in the base number. However, whenever I attempted it, I got syntax eror. If you could give me a step by step instructional I would much appreciate it!
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The TI-84 is a bit of a pain this way. You need to access the logBASE function either through the catalog or the MATH menu. You can't spell the function name as with some other calculators.
Press MATH, scroll down to the logBASE entry, then press ENTER. This will put "logBASE(" into the entry line. You can then enter the arguments and press ENTER to calculate the result. For example, to calculate the log base 2 of 8, press MATH, down-arrow a number of times to logBASE, press ENTER 8 , 2 ENTER. This should give you 3.
"log(2)8" means "common logarithm of 2 multiplied by 8".
The TI-84 has three different logarithm functions. log is the common (base-10) logarithm. ln is the natural (base-e) logarithm. logBASE lets you take the logarithm to any positive base.
If you want the log base 2 of 8, you want logBASE(2,8). You'll find the logBASE function in the catalog, accessible by pressing 2ND [CATALOG] ). CATALOG is the shifted function of the 0 key, the ) gets you to the Ls in the catalog.
The new OS's (2.53 MP and higher) have the MathPrint feature. However the new feature coexists with the old one CLASSIC and you can choose one or the other. To set that up, Press the MODE key, scroll down to go to the second page. At the top you have MathPrint and CLASSIC. Use right Arrow to highlight one othe the other then press ENTER to validate. Press [2nd][MODE] to (QUIT).
If you are in MathPrint mode, the logbase command will echo as a template with squares to fill. You enter the base in the lower square and the argument in the upper one.
If you are in CLASSIC Mode logbase appears as logBASE(. Complete the argument list by entering the number whose LOG you want separated by a comma from the base) Example logBase(8,2) yields the value 3.
You press [alpha] then [f3] to open the func menu. Use the arrow keys to highlight logbase( and press enter. then type in the value , base). Keystrokes would be [alpha] [f3] arrow and select logbase( , then  [(divide)  [,]  [)] [=] . (your screen should look like logbase(1/4 , 4) = -1.