SOLUTION: Given that log2 5 = 2.3219 and log2 7 = 2.8074, evaluate the expression log2 224

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Question 1028946: Given that
log2 5 = 2.3219
and
log2 7 = 2.8074,
evaluate the expression
log2 224

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Given that
log2 5 = 2.3219
and
log2 7 = 2.8074,
evaluate the expression
log2 224
Since 224 = 7*32,
log2 224 = log2 32 + log2 7
since log2 32 = 5 and log2 7 = 2.8074
log2 224 = 5 + 2.8074 = 7.8074
You can verify in your calculator. enter 2^7.8074 and you
do get a close approximation.