```markdown
### Image Description

**Title:** Geometric Program

**Problem Statement:**
- **Objective:** Minimize \(\log \left( \sum_{k=1}^{5} \exp(a_{0k}^T x + b_{0k}) \right)\)
- **Constraints:** \(\log \left( \sum_{k=1}^{5} \exp(a_{ik}^T x + b_{ik}) \right) \leq 0\), for \(i = 1, \ldots, m\)

**Parameters:**
- \(m = 100\) inequalities
- \(n = 50\) variables

**Graph:**
- **Axes:**
  - X-axis: Newton iterations (ranging from 0 to 120)
  - Y-axis: Duality gap (logarithmic scale from \(10^{-6}\) to \(10^{2}\))

- **Curves:**
  - Three step-like curves representing different values of \(\mu\):
    - \(\mu = 150\)
    - \(\mu = 50\)
    - \(\mu = 2\)

**Source:** A. d’Aspremont. Convex Optimization M2.

**Slide Number:** 16/36
```
