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
Hey Young — ready when you are. Step 1: Express all terms in the equation with a common base, which is 2. 4 × 2^x = ((1)/(8))^2x-3 We know that 4 = 2^2 and (1)/(8) = 8^-1 = (2^3)^-1 = 2^-3. Substitute these into the equation: 2^2 × 2^x = (2^-3)^2x-3 Step 2: Apply the exponent rules a^m × a^n = a^m+n and (a^m)^n = a^mn. 2^2+x = 2^-3(2x-3) Step 3: Since the bases are equal, equate the exponents. 2+x = -3(2x-3) Step 4: Solve the linear equation for x. 2+x = -6x + 9 Add 6x to both sides and subtract 2 from both sides: x + 6x = 9 - 2 7x = 7 Divide by 7: x = (7)/(7) x = 1 Send me the next one 📸