若3^χ=81,4^y=8,求代数式(x+y)(x-y)的值

问题描述:

若3^χ=81,4^y=8,求代数式(x+y)(x-y)的值

3^χ=81,4^y=8,
x=4
4^y=2^2y=8
2y=3
y=3/2
(x+y)(x-y)
=(4+3/2)(4-3/2)
=11/2×5/2
=55/4