Question

Find all solutions to the equation `7^2a = 45(7^a) + 4 (7^2)`?

Answer 1

See below.

Explanation:

`7^2(a-4)=45 xx 7^a` or

`(a-4)/45=7^(a-2)` now calling `b = a-2`

`(b-2)/45=7^b` but `7^b gt b, forall b in RR`

so the equation does not have real solutions.