The function $f(x) = 10log\left(\frac{x}{x_0}\right)$ can be used to determine the decibels of a sound with intensity x, where x0 is the intensity of an extremely quiet sound at the threshold of human hearing.

Question

Quizplus · Accepted Answer

The given function is a mathematical representation of how sound intensity levels are converted to decibels (dB), using a reference intensity $x_0$ which corresponds to the quietest sound the average human ear can hear.

The Function f(x)=10log(xx0)f(x) = 10log\left(\frac{x}{x_0}\right)f(x)=10log(x0​x​) Can Be Used to Determine the Decibels of a Sound

The Function $f(x) = 10log\left(\frac{x}{x_0}\right)$ Can Be Used to Determine the Decibels of a Sound