2007-03-28 14:33:09 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
log (base9) (1/3) = x
Translate:
9^x = 1/3
9^x = 3^-1
(3^2)^x = 3^-1
3^2x = 3^-1
2x = -1
x = -1/2
2007-03-28 14:38:10 · answer #1 · answered by Anonymous · 0⤊ 0⤋
-1/2
2007-03-28 21:38:15 · answer #2 · answered by bob b 3 · 0⤊ 0⤋
log base 10 (N)/ log base 10 (sub #)
in this case log (1/3)/log(9) put that in your calculator with the regular base 10
its called the "change of base formula" look in your textbook or online to explain further
2007-03-28 21:39:41 · answer #3 · answered by J 3 · 0⤊ 0⤋
9 raised to what power will give you 1/3
thats all it means really
so the answer is -1/2
log(base x) z = y
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x^y=z
same exact things those. one is the definition of the other. remember log is the opposite of exponent
2007-03-28 21:38:47 · answer #4 · answered by jim b 1 · 0⤊ 0⤋
9^x = 1/3
3^2x = 3^-1
2x = -1
x = -1/2
2007-03-28 21:38:54 · answer #5 · answered by richardwptljc 6 · 0⤊ 0⤋