Convert the given function into a logarithmic function: f(x)=36.77e^(-0.72x)

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19-07-2016
Mathematics

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Convert the given function into a logarithmic function: f(x)=36.77e^(-0.72x)

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-07-22T22:16:42+02:00

nobillionaireNobley nobillionaireNobley

22-07-2016

f(x) = 36.77e^(-0.72x)
log f(x) = log36.77e^(-0.72x)
log f(x) = log 36.77 + log e^(-0.72x)
log f(x) = 3.6 + (-0.72x)log e
log f(x) = 3.6 - 0.72x
0.72x = 3.6 - log f(x)
x = 5 - 1.39 log f(x)

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