`a, 2^{2x+3} . 5 = 160`
`=> 2^{2x} . 8 = 160 :5`
`=> 2^{2x} . 8 = 32`
`=> 2^{2x} = 32 : 8`
`=> 2^{2x} = 4`
`=> 2^{2x} = 2^2`
`=> 2x =2 `
`=> x = 2:2`
`=> x = 1`
`b, 2^{x+1} + 2^{x+2} = 384`
`=> 2^x . 2 + 2^x . 4 = 384`
`=> 2^x . (2+4) = 384`
`=> 2^x . 6 = 384`
`=> 2^x = 384 : 6`
`=> 2^x = 64`
`=> 2^x = 2^6`
`=> x = 6`