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
Step 1: Identify the given value and the expression to evaluate. Given: 6.5 = 0.8129 Evaluate: 2 6.5 + 650 Step 2: Substitute the given value of 6.5 into the expression. 2 6.5 + 650 = 2(0.8129) + 650 Step 3: Simplify 650 using the properties of logarithms. We can write 650 as 6.5 × 100. Using the logarithm property (AB) = A + B: 650 = (6.5 × 100) 650 = 6.5 + 100 Since the base of the logarithm is not specified, we assume it is base 10. Therefore, 100 = 2 (because 10^2 = 100). Substitute the value of 6.5: 650 = 0.8129 + 2 650 = 2.8129 Step 4: Substitute the value of 650 back into the expression and calculate. 2(0.8129) + 2.8129 1.6258 + 2.8129 4.4387 The final answer is 4.4387.