Write as a logarithmic equation.
3 squaredequals9
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Part 1
The logarithmic form is 
  
enter your response here.
​(Use integers or fractions for any numbers in the​ expression.)

To write the equation \( 3^2 = 9 \) in logarithmic form, recall that an equation in the form \( a^x = b \) can be rewritten as \( \log_a(b) = x \).

Given:
\[
3^2 = 9
\]

This translates to:
\[
\log_3(9) = 2
\]

So, the logarithmic form is:
\[
\log_3(9) = 2
\]

Would you like further details or have any questions? 

Here are some related questions to deepen your understanding:
1. How would you express \( 4^3 = 64 \) in logarithmic form?
2. What is the logarithmic form of \( 2^5 = 32 \)?
3. How can you rewrite \( 10^x = 1000 \) using logarithms?
4. If \( \log_5(125) = 3 \), what is the equivalent exponential form?
5. How do logarithms help solve exponential equations?

**Tip:** Logarithms are essentially the inverse of exponents, so they help "undo" exponentiation by determining the power needed to reach a certain number.

Write as a logarithmic equation. 3 squared equals 9

Learn how to rewrite the equation 3 squared equals 9 in logarithmic form using the concept of logarithms as the inverse of exponents. Detailed explanation suitable for students in Grades 8-10.

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