https://file.aiquickdraw.com/mathbot/file/1726028077323ajo16rx6.jpg

Let's evaluate the given logarithmic expressions from the image.

### (a) \(\log_6 6\)

The logarithmic expression \(\log_6 6\) means: "To what power must 6 be raised to get 6?"

Since \(6^1 = 6\), the value is:

\[
\log_6 6 = 1
\]

### (b) \(\log_4 \left(\frac{1}{64}\right)\)

The logarithmic expression \(\log_4 \left(\frac{1}{64}\right)\) asks: "To what power must 4 be raised to get \(\frac{1}{64}\)?"

We know that:
\[
4^3 = 64 \quad \text{so} \quad 4^{-3} = \frac{1}{64}
\]

Thus:
\[
\log_4 \left(\frac{1}{64}\right) = -3
\]

### Final answers:
- (a) \(\log_6 6 = 1\)
- (b) \(\log_4 \left(\frac{1}{64}\right) = -3\)

Would you like further details or clarifications?

Here are 5 related questions to practice:
1. What is \(\log_5 25\)?
2. What is \(\log_3 27\)?
3. How do you simplify \(\log_2 8\)?
4. Find \(\log_7 49\).
5. What is \(\log_9 \left(\frac{1}{81}\right)\)?

**Tip:** Remember, \(\log_b a = x\) means \(b^x = a\).

Evaluate the logarithmic expressions: (a) log_6 6 and (b) log_4 (1/64).

Learn how to evaluate the logarithmic expressions log_6 6 and log_4 (1/64). This problem covers logarithmic identities and exponents. Suitable for students in Grades 9-12.

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