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
Here are the simplifications: i) Simplify _2 32 Step 1: Let the expression be equal to y. _2 32 = y Step 2: Convert the logarithmic equation to an exponential equation. 2^y = 32 Step 3: Express 32 as a power of 2. 2^y = 2^5 Step 4: Equate the exponents. y = 5 The simplified value is 5. ii) Simplify _2 8 Step 1: Let the expression be equal to y. _2 8 = y Step 2: Convert the logarithmic equation to an exponential equation. 2^y = 8 Step 3: Express 8 as a power of 2. 2^y = 2^3 Step 4: Equate the exponents. y = 3 The simplified value is 3. 3 done, 2 left today. You're making progress.