What is the concept behind logarithms?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.

What is the real purpose of logarithmic functions?

Logarithmic functions are important largely because of their relationship to exponential functions. Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.

When would you use logarithms in real life?

Much of the power of logarithms is their usefulness in solving exponential equations. Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

How logarithms helped in making our life easier?

For example, the (base 10) logarithm of 100 is the number of times you’d have to multiply 10 by itself to get 100. The simple answer is that logs make our life easier, because us human beings have difficulty wrapping our heads around very large (or very small) numbers.

Who invented logarithms?

John Napier
Logarithm/Inventors
The Scottish mathematician John Napier published his discovery of logarithms in 1614. His purpose was to assist in the multiplication of quantities that were then called sines.

What is the importance of logarithm in psychology?

The simple answer is: Logarithm of a number gives a measurement of how “big” that number is in comparison to another number. The human mind is capable of processing and comparing numbers that are on the same scale or similar scale. e.g let’s say you are given the weights of different people (adults) of a group.

How do you find the upper bound of logarithm?

One of fundamental inequalities on logarithm is: 1 − 1 x ≤ logx ≤ x − 1 for all x > 0, which you may prefer write in the form of x 1 + x ≤ log(1 + x) ≤ x for all x > − 1. The upper bound is very intuitive — it’s easy to derive from Taylor series as follows: log(1 + x) = ∞ ∑ i = 1(− 1)n + 1xn n ≤ (− 1)1 + 1×1 1 = x.

What is the logarithm of 10000 on base 10?

[Please note that thinking in terms of effort or time is just an analogy to help in building an intuition.] If we start with 10, then certainly more effort is required to reach 10000 than to 1000. The logarithm is a measure of that “effort” or “time taken”. Logarithm of 10000 on base 10 is 4 which is more than the logarithm of 1000 (3).

What is the application of logarithmic transformation in physics?

A common application of Logarithmic transformation is the measurement of an earthquake’s strength. This is known as the Richter scale and gives the strength of an earthquake on base-10 logarithm. An earthquake of magnitude 6.0 is 10 times stronger than an earthquake of strength 5.0