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
Welcome back Grace — been a while! Let's pick up where you left off. Here are the solutions to the equations: a) Solve 2x^3 = 16 Step 1: Divide both sides by 2. (2x^3)/(2) = (16)/(2) x^3 = 8 Step 2: Take the cube root of both sides. x = [3]8 x = 2 The solution is x = 2. b) Solve 125^x = (1)/(5) Step 1: Express both sides with the same base. Note that 125 = 5^3 and (1)/(5) = 5^-1. (5^3)^x = 5^-1 Step 2: Apply the exponent rule (a^m)^n = a^mn. 5^3x = 5^-1 Step 3: Since the bases are the same, equate the exponents. 3x = -1 Step 4: Divide by 3 to solve for x. x = -(1)/(3) The solution is x = -(1)/(3). Send me the next one 📸