`g`

`16^(2n) : 2^n = 128`

`to (2^4)^(2n) : 2^n = 2^7`

`to 2^(8n) : 2^n = 2^7`

`to 2^(7n) = 2^7`

`to n = 7`

`h`

` 1/2 . 2^n + 4 . 2^n = 9 . 2^5`

`to 2^n . (1/2 + 4) = 9 . 32`

`to 2^n . 9/2 = 288`

`to 2^n = 288 / (9/2)`

`to 2^n = 64`

`to 2^n = 2^6`

`to n = 6`

`i`

`2^(n + 3) . 2^n = 128`

`to 2^(2n + 3) = 2^7`

`to 2n + 3 = 7`

`to 2n = 4`

`to n = 2`

`k`

`2^(n + 2) - 2^n = 96`

`to 2^n . 2^2 - 2^n = 96`

`to 2^n . (4 - 1) = 96`

`to 2^n . 3 = 96`

`to 2^n = 32`

`to 2^n = 2^5`

`to n = 5`

`a`

`5^x + 5^(x + 2) = 650`

`to 5^x + 5^x . 5^2 = 650`

`to 5^x . (1 + 25) = 650`

`to 5^x . 26 = 650`

`to 5^x = 25`

`to 5^x = 5^2`

`to x = 2`

`b`

`3^(x - 1) + 5 . 3^(x - 1) = 162`

`to 3^(x - 1) . (1 + 5) = 162`

`to 3^(x - 1) . 6 = 162`

`to 3^(x - 1) = 27`

`to 3^(x - 1) = 3^3`

`to x - 1 = 3`

`to x = 4`

`c`

`2^x + 2^(x + 2) = 320`

`to 2^x + 2^x . 2^2 = 320`

`to 2^x . (1 + 4) = 320`

`to 2^x . 5 = 320`

`to 2^x = 64`

`to 2^x = 2^6`

`to x = 6`