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 BEN✌️, good to see you again. Step 1: Rewrite the right side of the equation with the same base as the left side. The equation is 3^x^2+2 = 27^2x-1. Since 27 = 3^3, we can substitute this into the equation. 3^x^2+2 = (3^3)^2x-1 Step 2: Apply the exponent rule (a^m)^n = a^mn. 3^x^2+2 = 3^3(2x-1) Step 3: Equate the exponents since the bases are the same. x^2+2 = 3(2x-1) Step 4: Expand the right side of the equation. x^2+2 = 6x-3 Step 5: Rearrange the equation into a standard quadratic form ax^2+bx+c=0. x^2 - 6x + 2 + 3 = 0 x^2 - 6x + 5 = 0 Step 6: Solve the quadratic equation by factoring. We need two numbers that multiply to 5 and add to -6. These numbers are -1 and -5. (x-1)(x-5) = 0 Step 7: Set each factor equal to zero to find the values of x. x-1 = 0 x = 1 x-5 = 0 x = 5 The values of x are 1 and 5. x=1 or x=5 Send me the next one 📸