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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 halflife of decaying substances. Based on this approximation and the power rule for logarithmic expressions, how could you approximate ln 8, without a calculator? Explain.
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 halflife 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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y2o2
 4 years ago
Best ResponseYou've already chosen the best response.0ln(8) = ln(2^3) = 3ln(2) = 3*0.693 = 2.079

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0please explain why that is true ^_^

y2o2
 4 years ago
Best ResponseYou've already chosen the best response.0because of the logarithm rule: log(a^n) = nlog(a) do you want a proof ?!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0haha nono i believe you, i just had to say why it was true, but i didnt know what to say rofl

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0notations 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
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