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

Question

Mathematics

Lorelai Maynard

20 May, 03:05

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

+4

Answers (1)

Know the Answer?

Celeste Higgins · Answer 1

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)