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Find Log218 . We know that 24 = 16 and 25 = 32 , and that 18 is between 16 and 32; therefore, we know that the exponent we are looking for is between 4 and 5. In fact, it is closer to 4 than to 5 because 18 is closer to 16 than it is to 32.
Plz Check....
Let's solve this problem by changing the base to 10. Log218 can be written Log18 / Log2 . Using your calculator,
Log18 / Log2 = 1.255273/0.301030 = 4.169927.
Let's check the answer. If 2 4.169927 = 18 , our answer is correct.2 4.169927 = 18.000025 . Close enough. Why isn't it 18 exactly?
Since we rounded Log18 / Log2 to six places, our answer won't check exactly. If we rounded to ten places, then when we checked the answer, it would be closer to 18 than this answer.
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