Question

Given that loga2 = 0.3010 and loga3 = 0.4771, find loga108

Answer 1

Answer:

2.0333

Step-by-step explanation:

$log_{a}(108) \\ = log_{a}( {2}^{2} \times {3}^{3} ) \\ = 2 log_{a}(2) + 3log_{a}(3) \\ = 2(0.3010) + 3(.4771) \\ = 2.0333$