Multiple Choice
Write the single logarithm as a sum or difference of logs.
0. Functions
Properties of Logarithms
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Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log.
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Verified step by step guidance1
Step 1: Recall the change of base formula for logarithms, which states that for any logarithm log_b(a), it can be rewritten as log_b(a) = ln(a) / ln(b), where ln represents the natural logarithm.
Step 2: Identify the base and the argument in the given logarithm. Here, the logarithm is log_2(3789), so the base is 2 and the argument is 3789.
Step 3: Apply the change of base formula. Rewrite log_2(3789) as ln(3789) / ln(2).
Step 4: Use a calculator to compute the natural logarithms ln(3789) and ln(2). Ensure you input these values correctly into the calculator.
Step 5: Divide the result of ln(3789) by ln(2) to find the value of log_2(3789). This will give you the final answer.
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