Express the given equation in exponential form.
log Subscript 6 Baseline 6equals1

The equation given is \( \log_6 6 = 1 \).

To express this in exponential form, we use the definition of logarithms:

\[ \log_b a = c \]

This is equivalent to:

\[ b^c = a \]

In your case:

- \( b = 6 \) (the base)
- \( a = 6 \)
- \( c = 1 \)

So, \( \log_6 6 = 1 \) can be rewritten in exponential form as:

\[ 6^1 = 6 \]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you express \( \log_2 8 = 3 \) in exponential form?
2. What is the value of \( \log_{10} 1000 \) in exponential form?
3. How do you express \( \log_5 25 = 2 \) in exponential form?
4. If \( \log_b b = 1 \), what does this imply about the base \( b \)?
5. How would you express \( \log_{10} 1 = 0 \) in exponential form?

**Tip:** When converting between logarithmic and exponential forms, remember that the logarithm gives the exponent to which the base must be raised to get the number.

Understand how to convert logarithmic equations to exponential form with detailed examples and explanations. This page covers the fundamental concept of logarithms, including the relationship between logarithms and exponential functions. Suitable for students in Grades 9-12.

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