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log2(25)乘log3(4)乘log5(9)=?
人气:107 ℃ 时间:2020-01-25 23:33:39
解答
log2(25)乘log3(4)乘log5(9)
=log2(5²)乘log3(2²)乘log5(3²)
=2log2(5)乘2log3(2)乘2log5(3)
=2×2×2×[log2(5)乘log3(2)乘log5(3)]
=8log2(5)乘log3(2)乘log5(3)怎麼變形乘?再詳細點好麼?謝謝log2(5)乘log3(2)乘log5(3)=log3(5)乘log5(3)=1利用公式loga (b) 乘logb (c)=loga (c)loga (b) 乘logb (a)=1
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