`a)`
`2^x +2^{x+3} = 144`
`2^x + 2^x . 2^3 = 144`
`2^x . 1 + 2^x . 2^3 = 144`
`2^x . ( 1 + 2^3) = 144`
`2^x . 2^3 = 144`
`2^x . 9 =144`
`2^x = 144 : 9`
`2^x = 16`
`2^x = 2^4`
`=> x = 4`
`b)`
`(1/32)^x = (1/8)^10`
`(1^5/2^5)^x = (1^3/2^3)^10`
`(1/2)^{5x} = (1/2)^3.10`
`(1/2)^{5x} = (1/2)^30`
`5x = 30`
`x = 30/5`
`x = 6`
`c)`
`(1/243)^x=(-1/27)^10`
`(1/234)^x = (1/27)^10`
`(1^5/3^5)^x = (1^3/3^3)^10`
`(1/3)^{5x} = (1/3)^30`
`5x = 30`
`x =30/5`
`x = 6`
