**Category:** Acoustics (a branch of physics dealing with sound)

**Subtype:** Sound intensity and decibels

**Problem Description:** This problem involves calculating the new sound intensity level in decibels (dB) after increasing the power of a sound source by 30%. The initial sound intensity level at point M is given as 50 dB, and the task is to determine the new sound intensity level after the power increase. 

**Key Concepts:** 
- Understanding the relationship between sound intensity and decibels.
- The formula for sound intensity level in decibels: 
  \[
  L = 10 \log_{10} \left( \frac{I}{I_0} \right)
  \]
  where \(L\) is the sound level in dB, \(I\) is the intensity of the sound, and \(I_0\) is the reference intensity (usually \(10^{-12} \, \text{W/m}^2\)).
- The effect of increasing power on sound intensity.

**Objective:** Find the new sound intensity level at point M after the power increase.