(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

( the equation is attached below)

3. 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.

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# Solving for x in logarithm problem

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