Question

Is this problem correct??

Answer 1

Hey there !

Yeah , the problem is absolutely correct , and here is the solution -


`y = {2}^(3x - 1)`

To find inverse , first switch x and y ,

`x = {2}^(3y - 1)`

Taking log both sides ,

`log(x) = (3y - 1) log(2) \\ \\ ( log(x) )/( log(2) ) = 3y - 1 \\ \\ \: \: y = ( log_(2)(x) )/(3) \: \: \: \: \: \: ans.`

Hope it helps you :)