Asked by CheezyReezy
Solve the exponential equation. Express your solutions in exact form only. Please show all of your work.
5e^(x log(9)) = 11
5e^(x log(9)) = 11
Answers
Answered by
Reiny
I am assuming log 9 is base 10, since you didn't state otherwise.
take ln of both sides
ln(5e^(xlog9) = ln11
ln5 + xlog9(lne) = ln11
xlog9 = ln11 - ln5
x = (ln11 - ln5)/log9
take ln of both sides
ln(5e^(xlog9) = ln11
ln5 + xlog9(lne) = ln11
xlog9 = ln11 - ln5
x = (ln11 - ln5)/log9
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