Solve forx: 4^ − 7 × 4 ^𝑥 = 1

Using the rule $a^{m} * a^^{n} = a^^{m + n}$ : $4^^{- 7 + x} = 1$

Since any non-zero number raised to the power of 0 equals 1: $- 7 + x = 0$

Solve for x: $x = 7$