If x is a real number such that 2^{2x-5}=18, find 2^x.

2^(2x - 5)  =  18      

2^(2x)/ 2^5  = 18

(4)^x  = 2^5 * 18

4^x  = 576       lake the log of log of  both sides

log 4^x  = log 576

x * log 4  = log 576

x = log 576 / log 4

2^x =  2^ ( log 576 / log 4)  =   24