Question

Please solve this question for me with explination

Answer 1

(i)

`{12}^(x) = 144`

`{12}^(x) = {12}^(2)`

`x = 2`

(ii)

`{7}^(2x + 1) / 49 = {7}^(3)`

`{7}^(2x + 1) / {7}^(2) = {7}^(3)`

`{7}^(2x + 1) = {7}^(5)`

`2x + 1 = 5`

`2x = 4`

`x = 2`

(iii)

`{( (2)/(8) )}^(2x) * ( { (2)/(8)) }^(x) = ( { (2)/(8)) }^(6)`

`2x + x = 6`

`3x = 6`

`x = 2`