Algebra 2 help. with 4 & 5.

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Algebra 2 help. with 4 & 5.

Mathematics
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5. log2 64 = t 64 = 2^t 64 = 2^6 therefore t = 6 hours
the log of a given base of a number is the power to which the base is taken to give that number. in this case the base is 2 and 2^6 = 64 So log to base 2 of 64 = 6.

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I cant do do number 4 as I dont know exactly how the magnitude of an earthquake is defined. If it were a simple proportional relationship the answer would be 6.7 / 5.1 but none of the options are close to that..
I suppose logs are involved as all these questions are about logs.
yep - they are logs to the base 10 by the look of it so we have: 10^6.7 / 10 ^ 5.1 = 10^(6.7 - 5.1) = 10^1.6
use your calculator to find 10^1.6
this gives 39.81

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