Question

已知2a=3,2b=5,3a=4,3b=7,求12a+b的值.

Answer 1

2^a=3

2^b=5

3^a=4

3^b=7

12^(a+b)

=(3*4)^(a+b)

=3^a*3^b*4^a*4^b

=3^a*3^b*(2^a)^2*(2^b)^2

=4*7*3^2*5^2

=4*7*9*25

=6300