- 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 θ as in the figure
and deduce from the Pythagorean Theorem that the third side has length
This enables us to read from the triangle that
, so Then we can draw a right triangle with angle θ as in the figure
and deduce from the Pythagorean Theorem that the third side has length
This enables us to read from the triangle that