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Multiple Choice
Evaluate the given logarithm using the change of base formula and a calculator. Use the common log. log317
A
0.39
B
2.58
C
1.23
D
0.48
Verified step by step guidance
1
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) = log(a) / log(b), where 'log' represents the common logarithm (base 10).
Step 2: Apply the change of base formula to the given logarithm log_3(17). This becomes log_3(17) = log(17) / log(3).
Step 3: Use a calculator to find the values of log(17) and log(3). For example, log(17) represents the common logarithm of 17, and log(3) represents the common logarithm of 3.
Step 4: Divide the value of log(17) by the value of log(3) to compute the result. This step simplifies the expression to a single numerical value.
Step 5: Compare the computed result to the provided answer choices (2.58, 1.23, 0.48, etc.) to identify the correct answer.