A graph has been transformed from an original function according to the following transformations. Select all of the transformations that affect the input of the function:

Each of the graphs have been transformed from the original function . Match each graph with the transformation that was applied.

Mai solved the equation and got .

1. Check Mai’s answer: Is the equation true if ? Explain or show your reasoning.
2. Here are the steps Mai took. What was her mistake?
   
3. Solve the equation .

For each exponential equation, write an equivalent equation in logarithmic form.