Evaluate 2(0.125).

March 28, 2026Mathematics

ScanSolve AI Answer

March 28, 2026

Answer

\frac{125}{1000} = \frac{1}{8}$$

Here are the solutions to the problems:

13. Evaluate $\log_2(0.125)$ .

Step 1: Convert the decimal to a fraction. $0.125 = \frac{125}{1000} = \frac{1}{8}$

Step 2: Express the fraction as a power of 2. $\frac{1}{8} = \frac{1}{2^3} = 2^{-3}$

Step 3: Substitute this into the logarithm and use the property $\log_b(b^x) = x$ . $\log_2(0.125) = \log_2(2^{-3}) = -3$ The correct option is B

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Quick Answer

Here are the solutions to the problems: 13.
0.125 = (125)/(1000) = (1)/(8) Step 2: Express the fraction as a power of 2.
(1)/(8) = (1)/(2^3) = 2^-3 Step 3: Substitute this into the logarithm and use the property _b(b^x) = x.
_2(0.125) = _2(2^-3) = -3 The correct option is B.

Asked on March 28, 2026Mathematics

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 AnswerAnswered on March 28, 2026

Here are the solutions to the problems: 13. Evaluate _2(0.125). Step 1: Convert the decimal to a fraction. 0.125 = (125)/(1000) = (1)/(8) Step 2: Express the fraction as a power of 2. (1)/(8) = (1)/(2^3) = 2^-3 Step 3: Substitute this into the logarithm and use the property _b(b^x) = x. _2(0.125) = _2(2^-3) = -3 The correct option is B