jmc

Question

Suppose that 4^a=5, 5^b=6, 6^c=7, and 7^d=8. What is a b c d?

Accepted Answer

Because 4^a b c d = (((4^a)^b)^c)^d = (( 5^b)^c)^d = (6^c)^d = 7^d = 8 = 4^3/2, we have a b c d = 32.