Math  Exponential equation
posted by CheezyReezy on .
Solve the exponential equation. Express your solutions in exact form only. Please show all of your work.
5e^(x log(9)) = 11

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