that satisfies the above logarithmic inequality?What is the range of
The sound intensity level (measured in decibels) is given by the formula: where denotes sound intensity and is the reference sound intensity.
An individual is diagnosed as moderate hearing loss when his/her threshold of sound perception is greater than 40 dB and less than or equal to 55 dB. Given that what is the range of the threshold of sound intensity that a person with moderate hearing loss can perceive?
Details and Assumptions:
- The sound intensity level of a normal conversation is about 50~60 dB, and that of a quiet library is about 40 dB.
- Assume that
and are positive integers satisfying . What is the minimum integer value of
Details and assumptions
The minimum integer value of a set, is the smallest integer that appears in the set. As an explicit example, the minimum integer value of the set of numbers satisfying is 13.
If one root of the following quadratic equation is positive and the other root is negative, what is the range of
If the range of that satisfies the inequality is what is the value of