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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.

10 years ago

Answers : (1)

Vijay Luxmi Askiitiansexpert
357 Points
							

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.

10 years ago
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