Question

Suppose the ratio output signal magnitude to input signal power is 1000. What is this in dB (decibel) scale for magnitudes (not power)? 60 dB 1000 dB 3 dB 30 dB

          Suppose the ratio output signal magnitude to input signal power is 1000. What is this in dB (decibel) scale for magnitudes (not power)?
60 dB
1000 dB
3 dB
30 dB
        
Suppose the ratio output signal magnitude to input signal power is 1000. What is this in dB (decibel) scale for magnitudes (not power)?
60 dB
1000 dB
3 dB
30 dB

Added by Gregorio C.

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Suppose the ratio output signal magnitude to input signal power is 1000. What is this in dB (decibel) scale for magnitudes (not power)? 60 dB 1000 dB 3 dB 30 dB
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Transcript

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00:01 Hi, in this question we have been given the ratio of input signal to the output signal of magnitude is thousand and we need to find this in decibel scale.
00:12 So let us consider this thousand is now in decibel scale it is given as 10 multiplied by log with page 10 r.
00:31 So here again this can be written as 10 into long with base 10 and our value is thousand.
00:39 So again, this 10 into long with base 10 and this thousand can be written as 10 raised to the power 3.
00:47 Now using the properties of logarithm, that is, suppose we have long a to the power x, this can be written as x times log a...
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