log2(25)乘log3(4)乘log5(9)=?
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![log2(25)乘log3(4)乘log5(9)=?](/uploads/image/z/613845-45-5.jpg?t=log2%EF%BC%8825%EF%BC%89%E4%B9%98log3%EF%BC%884%EF%BC%89%E4%B9%98log5%EF%BC%889%EF%BC%89%3D%3F)
log2(25)乘log3(4)乘log5(9)=?
log2(25)乘log3(4)乘log5(9)=?
log2(25)乘log3(4)乘log5(9)=?
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)]
=8
无限不循环小数
log2(25)×log3(4)×log5(9)
= log2(5²)×log3(2²)×log5(3²)
= 8log2(5)×log3(2)×log5(3)
= 8(ln5/ln2)(ln2/1n3)(ln3/ln5)
= 8