![]() ![]() With such a wide range, using the actual values is not very convenient. Sounds that cause unbearable pain are about 10 trillion times more intense than the faintest sounds that can be heard. This is true of the pH scale, the Richter scale, the stellar magnitude scale and the decibel scale, which we will examine next. By using a logarithmic scale we can view a large range of data values without having to use enormous numbers.īecause of the convenience of a 10-fold increase, most logarithmic scales use $\log$ rather than $\ln$. $x$Įven though each $x$ value increases by a factor of 10, the $\log x$ values only increase by $1$. Observe, for instance, the values of $\log(x)$ given in this table. As we saw earlier, one of the nice features of logarithmic functions is that they expand small values and condense larger ones. When measuring quantities that vary greatly, like sound intensity, it's often convenient to work with logarithmic scales. ![]() In this section we will discuss several applications of logarithms including the decibel scale, which is used to measure the intensity of sound. For example, if you increase the intensity of a sound 10 times, it will only sound about twice as loud. One reason for this is the fact that your ears don't perceive the actual intensity of sound, rather they respond approximately to logarithm of the sound intensity. Our sense of hearing, for example, picks up both faint whispers and highly amplified music. Syntax :Įxpand(expression), expression is expression algebraic to expand.The human senses are capable of perceiving a wide range of stimuli. Here is the list of exercises that use this function for their solution : develop an algebraic expression, develop an algebraic expression with a special expansion, develop the square of a number with a remarkable identity.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |