Evaluate (log2 3)/(log2 9)

3 answers

Using the change of base formula, we have:

(log2 3)/(log2 9) = log3/log9

Applying the change of base formula again, we have:

log3/log9 = log3/(log3 3^2) = log3/2

Therefore,

(log2 3)/(log2 9) = log3/2 ≈ 0.585
1/2
As an improper fraction, 1/2 is equal to 2/4.