These are the questions that I really want to solve since last year. I have asked my teachers, but they said is really difficult to solve this type of question. So, I will write the question here. Hope that anyone of you can solve this question. It is better to come up with general methods/equations to solve these questions.

Questions:

1. 3^x + 5^x = 7^x (x = 1.2567)

2. 11^x + 7^x = 2^x (x = -0.4726)