- Can two different numbers have the same cube?

- Find the inverse of the equation

- Find the inverse of the equation

- True or false:

is equal to

.

- Solve.

- Find the inverse function of

- What is the inverse of the equation ?

- Find equivalent equations.

- Find the equations that correspond to the labels.

- Find equivalent forms.

- Use the laws of logarithms to evaluate .

- Find the equivalent natural log.

- Find the equivalent equation for ln
*x*=*y*.

- Find the equivalent forms.

- Solve the equation

.

- Express as a single logarithm.

- The change of base formula says that

For any positive number , we have .

- Sketch the graph of the function .

- Find the inverse of .

- Evaluate .

No.

False.

- Re-write the equation:

- Solve this equation for
*x*:

- Interchange
*x*and*y*:

- So, inverse function is:

ln

*x*
Let , so

Then we can draw a right triangle with angle

and deduce from the Pythagorean Theorem that the third side has length

This enables us to read from the triangle that

Then we can draw a right triangle with angle

*θ*as in the figureand deduce from the Pythagorean Theorem that the third side has length

This enables us to read from the triangle that