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vivianrush

  • 3 years ago

Algebra 2 help. with 4 & 5.

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  1. vivianrush
    • 3 years ago
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  2. cwrw238
    • 3 years ago
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    5. log2 64 = t 64 = 2^t 64 = 2^6 therefore t = 6 hours

  3. cwrw238
    • 3 years ago
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    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.

  4. cwrw238
    • 3 years ago
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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..

  5. cwrw238
    • 3 years ago
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    I suppose logs are involved as all these questions are about logs.

  6. cwrw238
    • 3 years ago
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    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

  7. cwrw238
    • 3 years ago
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    use your calculator to find 10^1.6

  8. cwrw238
    • 3 years ago
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    this gives 39.81

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