wrtie the following exponentiol equation 5^4=625 in logarithmic form

To rewrite the exponential equation \( 5^4 = 625 \) in logarithmic form, you follow the basic logarithmic principle:

\[
\log_b (a) = x \quad \text{is equivalent to} \quad b^x = a
\]

Here, \( b = 5 \), \( x = 4 \), and \( a = 625 \). Thus, the logarithmic form of the equation is:

\[
\log_5 (625) = 4
\]

Would you like more details on logarithmic transformations or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you convert any exponential equation into logarithmic form?
2. What are the basic properties of logarithms?
3. How can you calculate logarithms without a calculator for small numbers?
4. What is the inverse relationship between exponents and logarithms?
5. How does changing the base of the logarithm affect the result?

**Tip**: Logarithms are the inverse of exponentiation, helping you to solve equations involving exponential growth or decay.

write the following exponential equation 5^4=625 in logarithmic form

Learn how to convert the exponential equation 5^4 = 625 into its logarithmic form using the formula log_b(a) = x if b^x = a. This problem introduces the inverse relationship between exponents and logarithms, suitable for students in Grades 9-11.

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