Acoustics The decibel (dB) is a unit that is used to express the relative loudness of two sounds. One application of decibels is the relative value of the output power of an amplifier with respect to the input power. Since power levels can vary greatly in magnitude, the relative value D of power level P1with respect to power level P2 is given (in units of dB) in terms of the logarithm of their ratio as follows:
where the values of P1 and P2 are expressed in the same units, such as watts (W). If P2 = 75 W, find the value of P1 at which D = 0.7.
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