Question

log base 3(1/9) = x
What is x?

Answer 1

log^3((1)/(9))=x


The logarithm base 3 of (1)/(9) is (1)-log^3(9).
x=(1)-log^3(9)

The logarithm base 3 of 9 is 2.
x=2

Answer 2

3^x = 1/9

3^x = 3 ^ (-2)

x = -2

Answer 3

One could have just changed the base3 to base10.

\[x=\log_{10}(1/9)/\log_{10}3 \]

x=-2