Algebra II : Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #81 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #82 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #83 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

Example Question #84 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

Example Question #721 : Exponents

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

Example Question #86 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Add  on both sides.

 Divide  on both sides.

Example Question #1191 : Mathematical Relationships And Basic Graphs

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Add  on both sides.

 Divide  on both sides.

Example Question #81 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 With the same base, we can now write

 Subtract  on both sides.

 Divide  on both sides.

Example Question #83 : Solving Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do 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 #91 : Solving And Graphing Exponential Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents. Since the bases are now different, we need to convert so we have the same base. We do know that

 therefore

 Apply power rule of exponents.

 With the same base, we can now write

 Subtract  on both sides.

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