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Question

Part 1
Change the exponential statement to an equivalent statement involving a logarithm.
9 equals 3 squared
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Part 1
The equivalent logarithmic statement is
  
enter your response here. ​(Type an​ equation.)

Answer 1

To convert the exponential statement \( 9 = 3^2 \) into a logarithmic statement, you can use the definition of logarithms, which states:

If \( a^b = c \), then \( \log_a(c) = b \).

In this case, \( a = 3 \), \( b = 2 \), and \( c = 9 \). Thus, the equivalent logarithmic statement is:

\[ \log_3(9) = 2 \]

So your answer is:

\[ \log_3(9) = 2 \]