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
Afolayan, let's knock this out. Step 1: Apply the power rule of logarithms, a b = b^a, to each term. (1)/(2) 25 = 25^1/2 = sqrt(25) = 5 2 3 = 3^2 = 9 2 6 = 6^2 = 36 Step 2: Substitute these simplified terms back into the original expression. 5 - 9 + 36 Step 3: Apply the subtraction rule of logarithms, a - b = ((a)/(b)). 5 - 9 = ((5)/(9)) Step 4: Apply the addition rule of logarithms, a + b = (a · b). ((5)/(9)) + 36 = ((5)/(9) × 36) Step 5: Simplify the expression inside the logarithm. (5)/(9) × 36 = 5 × (36)/(9) = 5 × 4 = 20 Step 6: Write the final simplified expression. 20 The simplified expression is: 20 What's next?