Title: Calculate Decibels Gained or Lost Video Post by: bio_man on Oct 15, 2019 \(-3.25=10\cdot \log \left(\frac{P_2}{2750}\right)\)
To isolate for \(P_2\), we need to divide both sides by the factor 10 before the log: \(\frac{-3.25}{10}=\frac{10\cdot \log \left(\frac{P_2}{2750}\right)}{10}\) \(\frac{-3.25}{10}=\log \left(\frac{P_2}{2750}\right)\) Now, to remove the log so we can access the \(P_2\), we raise both sides of the equations as exponents to the base 10: \(10^{\frac{-3.25}{10}}=10^{\log \left(\frac{P_2}{2750}\right)}\) \(10^{\frac{-3.25}{10}}=\frac{P_2}{2750}\) One more step, multiply both sides by the denominator found on the right-side: \(\left(2750\right)\cdot 10^{\frac{-3.25}{10}}=\frac{P_2}{2750}\cdot \left(2750\right)\) \(\left(2750\right)\cdot 10^{\frac{-3.25}{10}}=P_2\)\ Therefore: \(P_2=\left(2750\right)\cdot 10^{\frac{-3.25}{10}}=1301.16\) Hope that helps! Title: Re: Calculate Decibels Gained or Lost Video Post by: Kstan109 on Oct 16, 2019 Thank you!
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