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anonymous

  • 4 years ago

b.The approximation of the natural logarithm of 2: ln 2 ≈ 0.693 is commonly used by applied scientists, biologists, chemists, and computer scientists. For example, chemists use it to compute the half-life of decaying substances. Based on this approximation and the power rule for logarithmic expressions, how could you approximate ln 8, without a calculator? Explain.

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  1. y2o2
    • 4 years ago
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    ln(8) = ln(2^3) = 3ln(2) = 3*0.693 = 2.079

  2. anonymous
    • 4 years ago
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    please explain why that is true ^_^

  3. y2o2
    • 4 years ago
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    because of the logarithm rule: log(a^n) = nlog(a) do you want a proof ?!

  4. anonymous
    • 4 years ago
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    Thank you! /bow

  5. anonymous
    • 4 years ago
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    haha nono i believe you, i just had to say why it was true, but i didnt know what to say rofl

  6. anonymous
    • 4 years ago
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    notations log[base]{value} .. from formula we have if value is some power of base then the degree of power then degree is answer for that logarithm . so if base log[2]{25} hten if you know log[2]{5} is x then you can deduce log[2]{25} as => log[2]{5pow(2)}=> 2*log[2]{5}=>2*x; This is the general approach of getting result

  7. anonymous
    • 4 years ago
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    excellent answer!

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