To solve for \( k \) given \( \log k = -3.7739 \), you need to rewrite the equation in exponential form:

\[
k = 10^{\log k}
\]

Since \( \log k = -3.7739 \), this becomes:

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

Now, calculate the value of \( k \):

\[
k \approx 10^{-3.7739} \approx 0.000168
\]

Thus, \( k \approx 0.000168 \).

Would you like further details or have any questions?

Here are some related questions:
1. How do you solve logarithmic equations?
2. What is the relationship between logarithms and exponents?
3. How does changing the base of a logarithm affect the result?
4. What are the properties of logarithms that simplify calculations?
5. How can you apply logarithmic functions in real-world problems?

**Tip:** To solve logarithmic equations, always convert them into their exponential form to make the calculation easier.

Learn how to solve the logarithmic equation log k = -3.7739 by converting it into its exponential form. This solution explains key concepts of logarithms and exponents, providing a step-by-step guide to find k. Ideal for students in Grades 9-12.

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