Question

How do you find the value of c and x that makes the equation `c^(x+7)/c^(x-4)=c^11` true?

Answer 1

The equation is true `forall x` and any `c`

Explanation:

`c^(x+7)/c^(x+4) = (c^x xx c^7)/(c^x xx c^(-4))`

`= (cancel (c^x) xx c^7)/(cancel(c^x) xx c^(-4))`

`=c^(7+4) = c^11`

Hence the expression `= c^11` independent of `x`

Thus, the equation is true `forall x` and any `c`