Answer:
1/3
Step-by-step explanation:
To change from one base to another, we use the formula
Logb x = Loga x/Loga b
log1/9 (3^(1/3) /3)
log3 ((3^(1/3) /3))
-------------------------
log3 (1/9)
Log a /b = log a - log b
and 1/9 = 3^-2
log3 ((3^(1/3) ) - log3 (3)
-------------------------
log3 (3^-2)
log a^b = blog a
1/3 log3 (3 ) - log3 (3)
-------------------------
-2log3 (3)
We know log3 (3) =1
1/3 (1) - 1
-------------------------
-2 (1)
1/3 - 1
-------------------------
-2
-2/3
------
-2
Copy dot flip
-2/3 * -1/2
1/3
