2006-11-14 02:24:57 · 5 answers · asked by pacificwaves8 2 in Science & Mathematics ➔ Mathematics
OK. It looks like you took the log base 10 of 9 (which is .9542) and multiplied it by 1/81 (which is .01234) to get your .01178. Thus, you found
(1/81)*Log(9).
To get log base 9 of 1/81, i.e.
log_9 (1/81)
you have to find the exponent x where
9^x=1/81.
This exponent will be -2 since
9^(-2)=1/9^2=1/81.
No calculator is needed here!
To find the result on a calculator, you have to find
Log(1/81) (which is -1.908485)
and divide it by
Log(9) (which is .9542425)
to get -2.
2006-11-14 04:15:01 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋
Ur calculator is doing log base of 10 or e. Log base 9 of (1/81) is -2.
2006-11-14 10:29:24 · answer #2 · answered by Anonymous · 0⤊ 1⤋
The way you'd get log base-9 of 1/81 on a calculator would be log(1/81)/log(9). I get -2 when I do that.
2006-11-14 10:39:23 · answer #3 · answered by kirchwey 7 · 0⤊ 1⤋
.01178 is neither the log to base 10 or base e of 1/81. You must be doing something wrong in the entry. 10 and e are about the only bases available directly on most calculators.
2006-11-14 10:37:13 · answer #4 · answered by Steve 7 · 0⤊ 0⤋
Get a new calculator.
2006-11-14 10:28:19 · answer #5 · answered by Gene 7 · 0⤊ 1⤋