[INST] If 1/4 of 2^30 is 4^x, then what is the value of x ?/n [/INST]  ###Response: We have 1/4* 2^30 = (2^30)/(2^2) = 2^30-2 = 2^28. We also have 4^x = (2^2)^x = 2^2x. Setting these equal gives 2^28 = 2^2x, so 2x =28, which means x = 14.