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Question: How to solve the equation?

Question:How to solve the equation?

Alfred_F 585 Maple
solve
4 hours ago
1

I would like to solve an equation in the attached file as an exercise. I am looking for all solutions - including the complex ones. This is easily done using "derive". There are six solutions:

restart

solve(2^x*(2+sqrt(3))^x-2*(1+sqrt(3))^x = 2, x)

RootOf(2^_Z*(2+3^(1/2))^_Z-2*(1+3^(1/2))^_Z-2)

 (1)

NULL

edited "test":

test.mw

Five are complex, and the single real solution can be guessed simply by taking a close look. I am unable to obtain the complete solution in Maple; I cannot find my mistake and would appreciate some advice.
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