Calculating Decibel Levels with Increasing Fans

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Calculating decibel levels for multiple fans involves understanding that decibels are measured on a logarithmic scale. One fan produces 45 decibels, but two fans do not simply double that sound level; instead, the formula 10log(n) is used to determine the increase. For two fans, the increase is approximately 3 decibels, leading to a total of about 48 decibels. For eight fans, the calculation involves adding 10log(8), resulting in a significantly higher sound level. Understanding this logarithmic relationship is crucial for accurate sound level calculations.
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I was wondering how I would go about calculating decible levels with increasing fans. Here I'll explain
1 fan is 45 decibles but we know that 2 fans is not 90 decibles, so I was wondering how i would go about calculating how many decibles 8 fans is.
 
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Decibels are on a log scale. Ten decibels (one bel) means the energy of the sound is ten times as much. For 2 fans add 10log2 ~ 3. For 8 add 10log8. The log in this equation is to base 10.
 
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