In the image you shared, I see the following mathematical expression involving natural logarithms (ln):

$\ln(5 \cdot 2024) + \frac{\ln(7 \cdot 2024)}{\ln\left(\frac{2024}{365}\right)} + \frac{\ln(11 \cdot 2024)}{\ln\left(\frac{2024}{85}\right)}$

This appears to be a combination of logarithmic terms with some fractions. Here's a breakdown of what I interpret:

1. The first term is $\ln(5 \cdot 2024)$.
2. The second term is a fraction, with $\ln(7 \cdot 2024)$ in the numerator and $\ln\left(\frac{2024}{365}\right)$ in the denominator.
3. The third term is also a fraction, with $\ln(11 \cdot 2024)$ in the numerator and $\ln\left(\frac{2024}{85}\right)$ in the denominator.

Would you like me to solve or simplify this expression for you? Let me know if you need any further clarification on the terms or a step-by-step solution.

Follow-up Questions:

1. Do you want a detailed simplification of the logarithmic expression?
2. Would you like to know properties of logarithms that can simplify this expression?
3. Should I solve it for a specific value or leave it as a symbolic expression?
4. Are you interested in how natural logarithms behave for large values like 2024?
5. Do you want to check the numerical value of the entire expression?

Tip:

Logarithmic properties such as $\ln(ab) = \ln(a) + \ln(b)$ and $\ln\left(\frac{a}{b}\right) = \ln(a) - \ln(b)$ can greatly simplify expressions like the one you provided.