SOLUTION: Solve for x in the following equations (i). In x^2+ In x = 9 (ii). e^2x = 5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x in the following equations (i). In x^2+ In x = 9 (ii). e^2x = 5       Log On


   

Question 1149666: Solve for x in the following equations
(i). In x^2+ In x = 9
(ii). e^2x = 5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x in the following equations
(i). In x^2+ In x = 9
It's ln, not In. Natural log
ln(x^2) + ln(x) = 9
ln(x^3) = 9
x^3 = e^9
x = e^3 --- the simplest solution
There are 2 others.
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(ii). e%5E2x+=+5
x+=+5%2Fe%5E2