Evaluate (log3 16)/ (log3 2)

Answer 1

Using the change of base formula,

log3 16 = log2 16 / log2 3

and

log3 2 = log2 2 / log2 3

Substituting these into the expression:

(log3 16) / (log3 2) = ((log2 16 / log2 3) / (log2 2 / log2 3))

Simplifying:

= (log2 16 / log2 2)

= log2 (16/2)

= log2 8

= 3

Therefore, (log3 16) / (log3 2) = 3.