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The image contains a mathematical equation that appears to involve logarithms and possibly a trigonometric function. The expression reads as follows:

\[
\frac{-1}{c \cdot r} \cdot \cosh\left( r \cdot \ln\left( \frac{c}{5} \right) \right) = -2b \cdot n
\]

### Explanation:

- The expression on the left side is a fraction with the numerator `-1` and the denominator \( c \cdot r \).
- This fraction is multiplied by \( \cosh \left( r \cdot \ln\left( \frac{c}{5} \right) \right) \), where \( \cosh \) is the hyperbolic cosine function and \( \ln \) is the natural logarithm.
- The right side of the equation is a product of constants \( -2b \cdot n \).

This equation could be part of a larger context, such as a physics or engineering problem where hyperbolic functions and logarithms are used.

Would you like to go over the steps to solve this equation, or do you have any specific questions?

### Related Questions:
1. What are hyperbolic functions and how do they differ from trigonometric functions?
2. How do you solve equations involving the hyperbolic cosine function?
3. What is the significance of the natural logarithm in mathematical equations?
4. How can logarithms be simplified when they involve fractions?
5. What is the process for solving equations that include products of variables like this one?

**Tip:** When solving equations involving logarithmic and hyperbolic functions, it's essential to understand the properties of these functions, as they often require specific techniques for simplification and solution.

The query submitted by the user: Mathematical equation involving logarithms and hyperbolic functions.

This guide explains how to solve equations involving logarithms and hyperbolic cosine functions, with a focus on the equation -1/(c * r) * cosh(r * ln(c/5)) = -2b * n. Suitable for advanced high school students.

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