
Question content area top

Part 1

Write as a logarithmic equation.

5 cubed53equals=125125

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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 rewrite the equation \( 5^3 = 125 \) in logarithmic form, we use the definition of a logarithm:

If \( a^b = c \), then the equivalent logarithmic form is \( \log_a(c) = b \).

For \( 5^3 = 125 \), the base \( a \) is 5, the result \( c \) is 125, and the exponent \( b \) is 3.

So, the logarithmic form is:

\[
\log_5(125) = 3
\]

Let me know if you'd like more details or if you have any questions!

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### Related Questions
1. What is the logarithmic form of \( 2^4 = 16 \)?
2. How would you write \( 10^2 = 100 \) in logarithmic form?
3. Can you convert \( 7^2 = 49 \) into logarithmic form?
4. How do you express \( 3^4 = 81 \) in logarithmic form?
5. Rewrite \( 6^2 = 36 \) as a logarithmic equation.

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**Tip:** Remember, in the equation \( a^b = c \), the logarithmic form will be \( \log_a(c) = b \).

Write as a logarithmic equation: 5 cubed equals 125.

Learn how to rewrite the exponential equation 5^3 = 125 in logarithmic form. This example demonstrates the conversion between exponential and logarithmic forms, focusing on key concepts in exponents and logarithms. Suitable for students in Grades 8-10.

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