f(x)=a^3x-5,f(lga)=100,求a

题目

f(x)=a^3x-5,f(lga)=100,求a
.搞错..不好意思~是f(x)=a^(3x-5)才对......不然我看不懂的...

答案

f(lga)=100
即a^（3lga-5）=100
令lga=t,则a=10^t
可化为
10^[t(3t-5)]=100=10^2
则t(3t-5)]=2
(t-2)(3t+1)=0
则t=2,-1/3
a=100,10^(-1/3)