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.
Evaluate (log3 16)/ (log3 2)
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