This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
h) Solve for x in: i) 27^x = 9^3x-2 Step 1: Express both bases as powers of the same number, 3. (3^3)^x = (3^2)^3x-2 Step 2: Apply the power rule (a^m)^n = a^mn. 3^3x = 3^2(3x-2) 3^3x = 3^6x-4 Step 3: Equate the exponents since the bases are the same. 3x = 6x-4 Step 4: Solve for x. 3x - 6x = -4 -3x = -4 x = (-4)/(-3) x = (4)/(3) The solution for h) i) is $x =