This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
You're on a roll — let's find the value of x. Step 1: Rewrite all numbers in the equation with a common base. The common base for 2, 8, and 128 is 2. We know that 8 = 2^3 and 128 = 2^7. Substitute these into the equation: 2^(x-3) × (2^3)^(x+2) = 2^7 Step 2: Apply the exponent rule (a^m)^n = a^mn. 2^(x-3) × 2^3(x+2) = 2^7 2^(x-3) × 2^(3x+6) = 2^7 Step 3: Apply the exponent rule a^m × a^n = a^m+n. 2^(x-3) + (3x+6) = 2^7 Combine the exponents on the left side: 2^(x+3x-3+6) = 2^7 2^(4x+3) = 2^7 Step 4: Equate the exponents since the bases are the same. 4x+3 = 7 Solve for x: 4x = 7 - 3 4x = 4 x = (4)/(4) x = 1 What's next?