Translate the logarithmic statement into an equivalent exponential statement.

log Subscript 4 Baseline 256log4256equals=44

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Part 1

The equivalent exponential equation is 

enter your response here.

​(Use integers or decimals for any numbers in the​ equation.)

To translate the logarithmic statement into an equivalent exponential statement, let's first break down the given logarithmic expression:

\[
\log_4 256 = 4
\]

This means that the logarithm of 256 with base 4 equals 4. In exponential form, this statement is rewritten as:

\[
4^4 = 256
\]

So, the equivalent exponential equation is:

\[
4^4 = 256
\]

Would you like further clarification or details on logarithms and exponents?

Here are 5 related questions to expand on this concept:
1. What is the general form for converting a logarithmic expression into exponential form?
2. How do you evaluate logarithms without a calculator?
3. What is the logarithm of a number when the base equals the number itself?
4. How can you express \(\log_2 64 = 6\) in exponential form?
5. What are the properties of logarithms that make them useful in solving equations?

**Tip:** To check if you have the correct logarithmic or exponential form, always remember that \(\log_b x = y\) means \(b^y = x\).

Translate the logarithmic statement into an equivalent exponential statement: log₄(256) = 4

Learn how to translate the logarithmic statement log₄(256) = 4 into its equivalent exponential form. This problem involves understanding the relationship between logarithms and exponents, using the formula log_b(x) = y ↔ b^y = x. Suitable for students in Grades 8-10.

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