Answer:
x = log((2 i π n_1)/log(7) - log(4)/log(7))/log(2) + (2 i π n_2)/log(2) for n_1 element Z and n_2 element Z
Explanation:
Solve for x:
7^(-2^x) = 4
Take reciprocals of both sides:
7^(2^x) = 1/4
Take the logarithm base 7 of both sides:
2^x = (2 i π n_1)/log(7) - log(4)/log(7) for n_1 element Z
Take the logarithm base 2 of both sides:
Answer: x = log((2 i π n_1)/log(7) - log(4)/log(7))/log(2) + (2 i π n_2)/log(2) for n_1 element Z and n_2 element Z