Hello, leviathanwave!

1. Find the inverse of: .

"Switch" and

Solve for

. . . . . . . . .

. . . . . . . . . . . .

2. Solve the following for x and leave in exact form. Check for extraneous roots.

Note that exists for

. . For other values, the log does not exist (DNE).

We have: .

"Un-log": .

We have a quadratic: .

. . which factors: .

. . and has roots: .

For , DNE.

The only root is: .

We have: .

. .

Un-log: .

For , DNE.

The only root is: .

We have: .

Then: .

For , DNE.

The only root is: .

Is there a typo?. We can't solve this one . . .

We have: .

Then: .??

Factor: .

Factor: .

Then: .

For , DNE.

The roots are: .