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
Here's how to solve the exponential equation: Step 1: Rewrite all terms with the same base. The base 2 is already present. We need to express 8 and 128 as powers of 2. 8 = 2^3 128 = 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 2^x-3+3x+6 = 2^7 2^4x+3 = 2^7 Step 4: Equate the exponents since the bases are the same. 4x+3 = 7 Step 5: Solve the linear equation for x. 4x = 7-3 4x = 4 x = (4)/(4) x = 1 x = 1 That's 2 down. 3 left today — send the next one.