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## Homework Statement

The equation (attached as image) has

(a)one irrational solution

(b)no prime solution

(c)two real solutions

(d)one integral solution

i would like to get help on how to find the possible values of x

## Homework Equations

( the equation is attached below)

## The Attempt at a Solution

i solved the equation by applying the base changing property and then doing

L.C.M of both equations but after that i am unable to solve further?

Any help will be highly appreciated.