If i needed to enter log 5 to the base 3 into my calculator what buttons would i push?

Press LOG 3 ENTER.

The LOG key on the keyboard gives you base-10 (common) logs while the LN key gives you base-e (natural) logs. If you want the log to another base you can use the logBASE function found in the catalog.

Calculate the log (base 10) of the number, then divide the result by the log (base 10) of the base.
For example, to calculate the base-3 log of 9, calculate the log of 9 to get 0.954 . Divide that by the log of 3 (about 0.477) to get 2.0 .
Since 9 is 3 squared, the log base 3 of 9 is 2, as we just calculated.

To calculate the common log ( LOG base 10) of a positive number, just press the LOG key, the one above the blue Division key, then enter the number and close the right parenthesis. Press the ENTER key to get the result.

If you want to calculate the log in a base other than e (natural) or 10 (decimal) logarithms, you need to make use of one of the equivalent formulas below

log in base a of a number b
log_a(b)=log_10(b) / [ log_10(a)] or
log_a(b)= ln(b)/ln(a)

The 30XA only has logarithm functions for base e and base 10. However, you can calculate the logarithm to any base by using the relationship logb x = log x / log b = ln x / ln b

To calculate log3 of 9, press
9 LOG / 3 LOG =
or
9 LN / 3 LN =

The TI-30 XIIS, like most calculators, cannot do logarithms to base 5 directly. You need to apply the formula:

To calculate the logarithm at base 5 of 25, you key in: 25 [log] [ ÷] 5 [log] [=]

Yes, there is a [LOG] key to calculate decimal logarithms (logs in base 10) it is marked LOG, and another key marked [LN] to calculate the natural logarithms (logs in base e).
You enter a positive number, then press the appropriate log key (LOG or LN) and the result will be displayed.

The calculator does logarithms only to base 10 (common) and base e (natural). You can calculate the logarithm to any base by using the relationship logb(x) = log(x)/log(b) = ln(x)/ln(b) .

So, one way to calculate this is as follow:

5 ^ ( LN 3 ) / LN 5 ENTER

Note that the calculator automatically opens the parenthesis when you press LN, and you don't need to close them all before pressing ENTER.

Hi ;

for log base 10 use the the "log" key

example :

log(2) + log(3) = log(6)

enter 2 press the log key you will get 0.30102999 press the '+" key than 3 log you should get 0.47712125 for it Press the "=" or enter and you should get 0.778151250 for a answer than press inv or 2nd log and you should get 6 for a answer

and that all there is to it

Hello,
You are victim of a confusion between terms. Base-n calculations are calculations using various numeration systems (bases) : binary (2), octal(8) hexadecimal (16) and decimal (10). What you want is how to calculate powers, logarithms, exponentials and these have also the notion of base; Log in base 10 is the common log, whereas natural logarithms, are logarithms in base e.
Back to your exemple: 5 times 5 and raise the whole to power 3?
In that case [(] 5 [x] 5 [)] [^] 3 or [X to the 3] if you have such key or
25 [^] 3, because 5x5 = 25

5 times (5 raised to power 3)
5[x] [( ] 5 [^] 3 [)] or 5 [^] 4 because of the rules about products of powers with the same base.

Hope it helps.

In any scientific calculator log2(n) can be  calculated with either ln or log function as follows
 
Log2(n)= ln(n) / ln(2)
 
Or
Log2(n)=log(n) / log(2)

both will give nearly the same answers