Question

Sendo log2 = 0,30103 e log3 = 0,477 12 então log 144 será?

Answer 1

$144 = {2}^{4} \times {3}^{2} \\ log(144) = log( {2}^{4} \times {3}^{2} ) \\ log(144) = log( {2}^{4} ) + log( {3}^{2} ) \\ log(144) = 4 log(2) + 2 log(3) \\ log(144) = 4 \times 0.30103 + 2 \times 0.47712 \\ log(144) = 1.2042 + 0.95424 \\ = 2.15844$