已知2^a=3,32^b=6,求2^3a+10b的值

问题描述:

已知2^a=3,32^b=6,求2^3a+10b的值

32^b=6
2^5b=6
(2^5b)^2=6^2
2^10b=36
2^a=3
(2^a)^3=3^3
2^3a=27
2^(3a+10b)
=2^3a x2^10b
=27x36
=972