I have just started studying Audio Engineering and I have come across a section where I need to add decibel levels together.

I am aware that adding two decibel levels together will always give you the answer of +3dB (e.g, 90dB + 90dB = 93dB)

However, the equation I am using to do this is;


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The answer that this gives me is "2,000,000,000"

Is there a step that I am missing here?



You are just using the wrong formula. You'd want $10dB\log_10 (10^{90/10}+10^{90/10})$

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