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Example Questions
Example Question #1162 : 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.
With the same base, we can write:
Take the square root on both sides and account for negative as well.
Example Question #1161 : 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. 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:
Take square root on both sides. Remember to account for negative.
Example Question #1163 : 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. 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.
Example Question #1162 : 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. 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 #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. 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 #1172 : 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. 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.
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