on a TI-83 plus graphing calculator, how do you change the base for logarithms? how do i do, for example, log(8) base 2?
2007-09-11 10:39:43 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I don't know of any calculator that does logs to an arbitrary base, but you can easily calculate the logarithm by using the change of base formula log_a b = (ln b)/(ln a) (that's the log base a of b, just in case you are confused). Although you shouldn't need a calculator for this problem -- 8 is an exact power of 2 (namely, 8=2³), so log₂ 8 = 3. I suspect that this problem is one designed to test your understanding of what logarithms mean, rather than a practical computation problem (meaning, that you absolutely should not be using a calculator on this problem in the first place, lest you hinder your understanding).
2007-09-11 10:49:03 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋
I'm pretty sure that with a TI-83 Plus, the standard base of operation is base 10. It does not typically allow the user to change base unless a special program is written for it.
2007-09-11 10:44:48 · answer #2 · answered by sweetpetite 2 · 0⤊ 0⤋
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2016-10-18 22:23:13 · answer #3 · answered by Anonymous · 0⤊ 0⤋
to change bases of log x with base b:
log x/ log b (it doesn't matter what the new base is, just make both top and bottom the same)
So:
log(8)/log(2) = 3
You could also do this simply by using the expontential form:
log x (base b) = y
b^y = x
2^y = 8
y = 3
2007-09-11 10:52:26 · answer #4 · answered by Becky M 4 · 0⤊ 0⤋