All Algebra II Resources
Example Questions
Example Question #61 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
and . By choosing base , we will have the same base and set-up an equation.
Apply power rule of exponents.
With the same base, we can now write
Subtract on both sides.
Divide on both sides.
Example Question #61 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
therefore
Apply power rule of exponents.
With the same base, we can now write
Subtract and add on both sides.
Divide on both sides.
Example Question #63 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
therefore
With the same base, we can now write
Subtract on both sides.
Divide on both sides.
Example Question #64 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
therefore
With the same base, we now have
Subtract on both sides.
Divide on both sides.
Example Question #65 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
By having a base of , this will make solving equations easier.
Apply power rule of exponents.
With the same base, we now can write
Add and subtract on both sides.
Divide on both sides.
Example Question #66 : Solving And Graphing Exponential Equations
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. We don't have the same base in this case, but we do know that
therefore
Apply power rule of exponents.
With the same base, we can now write
Add and subtract on both sides.
Divide on both sides.
Example Question #61 : Solving Exponential Equations
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.
With the same base, we can now write
Add and subtract on both sides.
Example Question #701 : Exponents
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.
With the same base, we can now write
Take the square root on both sides. Account for negative answer.
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 #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.
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