what is a logarithmic function?

Question

I need an example of a logarithmic funtion(s).

Answer 1

Logarithmic functions are the inverses of exponential functions.

The function y = log(x) is the inverse of the function y = 10^x

log(x) means "the power that you raise 10 to to get x"

When log is written without a subscript, it is understood that the base is 10. You can have logs with other bases as well. For example log base 3 of 81 = 4 because 3^4 =81. (This is written log3(81) with the 3 as a subscript.)

Answer 2

A logarithmic function is any function with a logarithmic term involved in it. Something like log(x^2+y^2). For your reference there are basically five types of function. Logarithmic, Inverse, Algebraic, Trig and exponential. Each type is having a term of the type the name suggests. There can be another type called hybrid functions with more than one function involved.

Answer 3

When it comes to basics logarithmic function [y = ln(x)] is the mirror image of the exponential function [y = e^x] from the line
y = x.

A good example in practical situations for a logarithmic function that you can find in day to day life is the measurement of LOUDNESS (dB).

The function is given below [ y = 10*log(I/K) ]

Y is measured in deci-Bell(dB) while (I) represents the sound intensity measured in Watts per square meter [Wm^(-2)] & (K) represents a constant sound intensity known as the THREASHOLD OF HEARING, K = 10^(-12) Watts per square meter.

EX: Increasing the wattage (power output of a radio or speakers) by 10 times will increase the loudness by 2 times.

Answer 4

Logarithm is used in mathematical calculation to depict the perceived levels of variable quantities such as visible light energy, electromagnetic field strength and sound intensity.Take three real numbers, say a,x and y.related as follows x=ay. Then y is defined as base a logarithm of x and is written as log ax=y.Look up Whats.Com

Answer 5

Exponential and logarithmic applications have a brilliant number of applications to the actual international. some that i will call off the best of my head are: calculating returns on economic investments - exponential applications are used lots in calculating interest returns installation archives curves to foretell equipment variables interior the destiny - such via fact the inhabitants interior the destiny calculating a million/2 lives of chemical factors - different factors could be made via decaying radioactive factors over a undeniable volume of time. and the applications circulate on and on and on .......................

Answer 6

IT IS THE POWER TO WHICH YOU RAISE 10 TO GET YOUR RESULT .
10 TO THE POWER 0 = 1
10 TO THE POWER 1 = 10
10 TO THE POWER 2 = 100 ( 10 SQUARED )
YOU'LL NOTICE THAT THE VALUES IN YOUR LOG TABLES ARE BETWEEN 0 AND 2 . HIGHER NUMBERS ARE THE SAME...10 T.P.O. 3 = 1000....etc.
DO LOG TABLES EXIST IN AMERICA ANY MORE ?
YOU SEE A SLIDE RULE IN "APOLLO 13 ".

Answer 7

it's non linear. Ck wikipedia...