(ITA) Radical Power
Algebra
Level
3
Evaluate the sum of all real values of \(x\) that satisfy the following equation.
\( 8^{\sqrt{x+1}} + 44 \cdot 2^{\sqrt{x+1}} + 64 = 19 \cdot 4^{\sqrt{x+1}} \)
This problem was adapted from ITA's 2013 Math Paper.
by
Guilherme Dela Corte