SOLUTION: Use Log2 3≈1.5850 and Log2 2=1 to approximate the value of Log2 2,304

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Question 190521: Use Log2 3≈1.5850 and Log2 2=1 to approximate the value of Log2 2,304
Answer by Alan3354(69443) About Me  (Show Source):
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Use Log2 3≈1.5850 and Log2 2=1 to approximate the value of Log2 2,304
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2304 = 9*256 = 3^2*2^8
For the log, you add 2 of the log%282%2C3%29 and 8 of the log2%2C2%29
log%282%2C2304%29+=+2%2A1.585+%2B+8%2A1
log%282%2C2304%29+=+11.17
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A calculator shows that 2^11.17 = 2304.119777...