SOLUTION: Solve the equation 2^(2x) - 2^(x+1)-15=0 Find the domain f(x) = log((log((x-1))))

Question 685211: Solve the equation 2^(2x) - 2^(x+1)-15=0

Find the domain f(x) = log((log((x-1))))
Answer by pmatei(79) (Show Source): You can put this solution on YOUR website!

Re-write it as:

Replace

Solve the quadratic in y:

and
has no solution.

Domain for
The argument of logarithmic function has to be a positive number.
The first log has as argument log(x-1):

Logarithm function is positive if the argument is greater than 1. Logarithm of 1 is zero. And below 1 logarithm function is negative.

So the domain of f(x) is .
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