Given log_10(2) = 0.3010, find log_10(5).
Aptitude
Logarithm
Difficulty: Easy
Choose an option
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A0.3241
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B0.6911
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C0.6990
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D0.7525
Answer
Correct Answer: 0.6990
Explanation
Introduction / Context:Use the identity 10 = 2 * 5 and the logarithm of a product to relate log(2) and log(5).
Given Data / Assumptions:log_10(2) = 0.3010 and log_10(10) = 1.
Concept / Approach:Since log(10) = log(2) + log(5), we have log(5) = 1 − log(2).
Step-by-Step Solution:
log_10(5) = 1 − 0.3010 = 0.6990Final Answer:0.6990