https://file.aiquickdraw.com/mathbot/file/1730394406143q28ykju2.jpg

To convert the given exponential equation into logarithmic form, we start from the statement:

\[
5^3 = 125
\]

In exponential form, this means that the base \( b = 5 \), the exponent \( y = 3 \), and the result \( x = 125 \). To rewrite this in logarithmic form, we use the relationship:

\[
y = \log_b(x)
\]

Substituting the values:

\[
3 = \log_5(125)
\]

Therefore, the logarithmic form of \( 5^3 = 125 \) is:

\[
\log_5(125) = 3
\]

This is the answer that should go in the blank box.

Would you like further details or explanations? 

Here are five related questions you might find useful:

1. What is the logarithmic form of \( 2^4 = 16 \)?
2. How do you convert from logarithmic to exponential form?
3. What are the properties of logarithms that can simplify calculations?
4. How do you evaluate \( \log_2(8) \)?
5. What is the natural logarithm and how does it differ from other logarithms?

**Tip:** Remember that logarithms are the inverse operation of exponentiation, meaning they "undo" exponents.

Rewrite the exponential equation 5^3 = 125 in logarithmic form.

Learn how to rewrite the exponential equation 5^3 = 125 in logarithmic form. This explanation includes key logarithmic and exponential concepts, showing that the answer is log_5(125) = 3. Ideal for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation