Refresher - MATHEMATICS Quiz 11
PROBLEM 1:
The sum of logarithms of two numbers is 1.748188 and the logarithm of
their sum is 1.17609. What is the product of the number?
Solution:
log (x) + log y = 1.748198
log (xy) = 1.748198
xy = 101.748198
xy = 56
, Refresher - MATHEMATICS Quiz 11
PROBLEM 2:
If the input to an amplifier is 0.4 volt and the output is 50 volts, find the
decibel voltage gain of the amplifier.
Solution:
EO
dB gain = 20 log
EI
50
dB gain = 20 log
0.4
dB gain = 20 log 125
dB gain = 42
The amplifier provides a 42-decibel voltage gain.
PROBLEM 1:
The sum of logarithms of two numbers is 1.748188 and the logarithm of
their sum is 1.17609. What is the product of the number?
Solution:
log (x) + log y = 1.748198
log (xy) = 1.748198
xy = 101.748198
xy = 56
, Refresher - MATHEMATICS Quiz 11
PROBLEM 2:
If the input to an amplifier is 0.4 volt and the output is 50 volts, find the
decibel voltage gain of the amplifier.
Solution:
EO
dB gain = 20 log
EI
50
dB gain = 20 log
0.4
dB gain = 20 log 125
dB gain = 42
The amplifier provides a 42-decibel voltage gain.