find the exact value of the logarithm without a calculator,
how would I do this??
log(sub)1/3 9
please help explain thanks
2007-07-13 06:44:01 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
log(sub)1/3 9 = x
means
9 = (1/3)^x
so....
9 = 3^2 = (1/3)^(-2)
So...
(1/3)^(-2) = (1/3)^x
-2 = x
2007-07-13 06:53:11 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋
This is asking what is x if (1/3)^x = 9?
The answer is -2 because (1/3)^-2 = 9
2007-07-13 14:03:50 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
This means 1/3 to what power equals 9.
The answer is -2 because:
(1/3)^-1=3^2= 9
2007-07-13 13:59:28 · answer #3 · answered by Andrew 4 · 0⤊ 1⤋
log_â
9 = N
The log of a number is the Power (N) which is put on the base(â
) to give the number (9).
log_â
9 = N
9 = (â
)ⁿ
3² = (â
)ⁿ
1/3-² = (â
)ⁿ
(â
)-² = (â
)ⁿ
â n = -2
log_â
9 = N
log_â
9 = -2
2007-07-13 15:42:12 · answer #4 · answered by Sparks 6 · 0⤊ 0⤋
u can try this:
change log_1/3 9=x to 1/3^x=9
3^-x=3^2
-x=2
x=-2
2007-07-13 14:00:59 · answer #5 · answered by E_man5 2 · 0⤊ 0⤋