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Questions and Answers
Which of the following is the correct exponential function for the given graph?
Which of the following is the correct exponential function for the given graph?
- B) $f(x) = 3^x$
- C) $f(x) = 4^x$ (correct)
- A) $f(x) = 2^x$
- D) $f(x) = 5^x$
Solve the exponential equation: $2^x = 16$.
Solve the exponential equation: $2^x = 16$.
- A) $x = 2$
- B) $x = 3$
- D) $x = 5$
- C) $x = 4$ (correct)
Which of the following is the correct exponential function for the given table?
Which of the following is the correct exponential function for the given table?
- B) $f(x) = 3^x$
- D) $f(x) = 5^x$
- C) $f(x) = 4^x$
- A) $f(x) = 2^x$ (correct)
Solve the exponential equation: $3^{2x} = 81$.
Solve the exponential equation: $3^{2x} = 81$.
Which of the following is the correct exponential function for the given graph?
Which of the following is the correct exponential function for the given graph?
Solve the exponential equation: $4^x = 64$.
Solve the exponential equation: $4^x = 64$.
Which of the following is the correct exponential function for the given table?
Which of the following is the correct exponential function for the given table?
Solve the exponential equation: $2^x = 16$.
Solve the exponential equation: $2^x = 16$.
Which of the following is the correct exponential function for the given graph?
Which of the following is the correct exponential function for the given graph?
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Study Notes
Exponential Functions and Equations
- Exponential functions can be represented graphically, with key features to be identified.
- Exponential functions can be represented in tables, with key values to be recognized.
- Exponential equations can be solved to find the value of the variable, such as $x$ in $2^x = 16$.
Solving Exponential Equations
- To solve $2^x = 16$, recognize that $2^4 = 16$, so $x = 4$.
- To solve $3^{2x} = 81$, recognize that $3^4 = 81$, and since $2x = 4$, $x = 2$.
- To solve $4^x = 64$, recognize that $4^3 = 64$, so $x = 3$.
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