Question
\((1+e^{2y})\)=x,express y in terms of x.
Answer/Explanation
State \(1+e^{2y}=e^{x}\)
Make y the subject
Obtain answer \(y=\frac{1}{2}(e^{x}-1)\)
Question
Showing all necessary working, solve the equation \(\frac{2e^{x}+e^{-x}}{e^{x}-e^{-x}}\)= 4, giving your answer correct to
2 decimal places.
Answer/Explanation
Rearrange the equation in the form\( ae^{2x}=b or ae^{x}=be^{-x}\)
Obtain correct equation in either form with a = 2 and b = 5
Use correct method to solve for x
Obtain answer x = 0.46