All Algebra II Resources
Example Questions
Example Question #1171 : Mathematical Relationships And Basic Graphs
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
With the same base, we now can write
Add on both sides.
Divide on both sides.
Example Question #3841 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
With the same base, we can now write
Add on both sides.
Divide on both sides.
Example Question #3842 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
With the same base, we can now write
Add on both sides.
Divide on both sides.
Example Question #3843 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply power rule of exponents.
With the same base, we can now write
Subtract on both sides.
Divide on both sides.
Example Question #3844 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply the power rule of exponents.
With the same base, we can now write
Add and subtract on both sides.
Divide on both sides.
Example Question #3845 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply the power rule of exponents.
With the same base, we can now write
Add and subtract on both sides.
Divide on both sides.
Example Question #3846 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply the power rule of exponents.
Add and subtract on both sides.
Divide on both sides.
Example Question #3841 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply the power rule of exponents.
With the same base, we can now write
Add and subtract on both sides.
Example Question #3850 : Algebra Ii
Solve for .
When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents. However, since the base is different, we can definitely convert one of the numbers to have the same base. We know that
therefore
Apply the power rule of exponents.
With the same base, we can now write
Add on both sides.
Example Question #1181 : Mathematical Relationships And Basic Graphs
Solve the equation:
Solve by first changing the base of the right side.
Rewrite the equation.
With common bases, we can set the powers equal to each other.
Use distribution to simplify the right side.
Add on both sides.
Add two on both sides.
Divide by 9 on both sides.
The answer is: