Solve 8^√x + 8^√x = 1024 in 30 seconds!

Added: 2026-05-19

To solve exponential equations where the variable appears in the exponent, first combine like terms and express both sides with the same base. For the equation 8^√x + 8^√x = 1024, combine the terms to get 2 × 8^√x = 1024, then divide both sides by 2 to obtain 8^√x = 512. Recognize that 512 = 8^3, so √x = 3, which gives x = 9.