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Questions and Answers
Which property of exponential functions allows us to solve the equation $2^x = 2^7$ by setting $x = 7$?
Which property of exponential functions allows us to solve the equation $2^x = 2^7$ by setting $x = 7$?
- The one-to-one property of exponential functions (correct)
- The distributive property of exponentials
- The commutative property of exponentials
- The inverse property of exponentials and logarithms
What is the solution to the equation $2^x = 129$?
What is the solution to the equation $2^x = 129$?
- $x = \log_2(129)$ (correct)
- $x = 129$
- $x = 2$
- $x = \log_{129}(2)$
If $a^x = a^y$, where $a > 0$ and $a \neq 1$, what can we conclude about $x$ and $y$?
If $a^x = a^y$, where $a > 0$ and $a \neq 1$, what can we conclude about $x$ and $y$?
- There is not enough information to determine the relationship between $x$ and $y$.
- $x = y$ (correct)
- $x < y$
- $x > y$
What is the solution to the equation $3^{2x} = 9$?
What is the solution to the equation $3^{2x} = 9$?
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What is the solution to the equation $4^{x+1} = 16$?
What is the solution to the equation $4^{x+1} = 16$?
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