To find \( K \), you can solve the equation given by:

\[
\log K = -3.7739
\]

This is a logarithmic equation. To solve for \( K \), you'll need to exponentiate both sides using base 10, because it is assumed that the logarithm is in base 10 (common logarithm). The equation becomes:

\[
K = 10^{-3.7739}
\]

Let me calculate that for you.The value of \( K \) is approximately \( 0.0001683 \).

Would you like more details or explanations on this? 

Here are 5 related questions:
1. What is the difference between natural logarithms (ln) and common logarithms (log)?
2. How do you solve logarithmic equations with different bases?
3. What is the significance of the logarithmic scale in mathematics?
4. How do you convert logarithmic equations to exponential form?
5. Can negative logarithms have valid solutions?

**Tip:** Remember that the base of the logarithm determines how you exponentiate the result when solving for the original value. Common logarithms use base 10, while natural logarithms use base \(e\).

Find K by solving the logarithmic equation log K = -3.7739. Learn how to convert logarithmic equations to exponential form and use properties of logarithms for quick solutions. Suitable for high school students in Grades 9-12.

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