Show what you tried so far.
I suggest: Do change of base with base of 2 .
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
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.
2. Use the base change formula:
3. Multiply through by ln(x):
Multiply through by (ln(2)+ln(x)):
4. Expand the brackests and collect like terms. You'll get a quadratic equation in ln(x). Solve for ln(x) and consequently for x.
5. For confirmation only: There are 2 solutions: