- 对数的运算性质若logax=2,logbx=3,logcx=6,
- 若logax=2,logbx=3,logcx=6,则logabcx的值为？？
- 根据对数的“换底公式”：log(a)N = 1/log(N)a
log(a)x = 2 ==> log(x)a = 1/2
log(b)x = 3 ==> log(x)b = 1/3
log(c)x = 6 ==> log(x)c = 1/6
所以 log(x)(abc) = log(x)a + log(x)b + log(x)c = 12
所以 log(abc)x = 1/12