SOLUTION: Hi the chapter im on is called Exponential and Logarithmic functions. I had a question on a word problem from it. Here it is: The voltage input of an amplifier is 0.5 volts. I

Question 131555: Hi the chapter im on is called Exponential and Logarithmic functions. I had a question on a word problem from it.
Here it is:
The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d=10log(E base 0/E base 1), where d is the decibel voltage, E base 0 is the output voltage, and E base 1 is the input voltage to find the decibel voltage.
Okay this question makes no sense to me so if someone can figure it out.. Thank u!
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(57282) (Show Source):
You can put this solution on YOUR website!
The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d=10log(E base 0/E base 1), where d is the decibel voltage, E base 0 is the output voltage, and E base 1 is the input voltage to find the decibel voltage.
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d=10log(E base 0/E base 1)
Substitute the values you are given to get:
d = 10log(52/1)
d = 10*1.716...
d = 17.16 db
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O is like the output of a loudspeaker
E is like the voice of a person singing
17.16 is the gain in power produced by the amplifier.
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Cheers,
Stan H.

Answer by josmiceli(9664) (Show Source):
You can put this solution on YOUR website!
You are misinterpreting the and the
The little "o" and "i" are not bases, they are called
subscripts. All a subscript does is give you a way to
narrow the definition of a variable.
Example:
Suppose is the rent I charge for apartments
Maybe I use in a formula, but I want to know
if the rent is for a 1-bedroom, 2-bedroom, or 3-bedroom
= rent is for a 1-bedroom
= rent is for a 2-bedroom
= rent is for a 3-bedroom
Just realise that sometimes little numbers do refer to
the base for a log, just not in this case
volts ( is voltage in)
volts ( is voltage out)

answer