参考・概略です
(1) log₃9＋log₃3
＝log₃(9×3)
＝log₃3³
＝3･log₃3
＝3･1
＝3
(2) log₂48－log₂3
＝log₂(48÷3)
＝log₂16
＝log₂2⁴
＝4･log₂2
＝4･1
＝4
(3) log₆√3－(1/2)log₆36＋log₆√12
＝log₆√3－log₆36^(1/2)＋log₆√12
＝log₆√3－log₆6＋log₆√12
＝log₆(√3÷6×√12)
＝log₆1
＝0
(4) log₈(1/16)
＝log₈2^(－4)
＝－4･log₈2
＝－4･{log₂2}/{log₂8}
＝－4･{log₂2}/{log₂2³}
＝－4･{log₂2}/{3･log₂2}
＝－4･[1/3]
＝－4/3
(5) log₄3・log₃4
＝{log3/log4}・{log4/log3}
＝1
