### Question

$$(1+e^{2y})$$=x,express y in terms of x.

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.

Rearrange the equation in the form$$ae^{2x}=b or ae^{x}=be^{-x}$$