- #1
musicmar
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Homework Statement
The solution of 2^(2x+3) = 2^(x+1) + 3 can be expressed in the form of: a + log2b where a, b belong to the set of complex numbers.
The Attempt at a Solution
(2^3)(2^x)^2 = 2^(x+1) + 3
[8((2^x)^2)] - [2(2^x)] - 3 = 0
Solving the above quadratic for 2^x, I found that 2^x = 3/4 and -1/2. I can solve for x, but for simplicity's sake, I haven't yet.
From here, I need to put x into the above log form.