Use this Logarithm Calculator to Calculate the Logarithm of Any Number With a Given Base.
Logarithm Calculator
loga (b) = 0
What is a Log Calculator?
Log calculator or logarithm calculator is an online scientific calculator that helps you to find the logarithm of any number with a given base.
In mathematics, logarithm is the inverse of exponentiation, which means that the logarithm of a number is the exponent by which another fixed value, the base, must be raise to produce the number.
For example, the logarithm of 1000 of base 10 is 3 because 1000 is 10 to the third power. It can be written as log10(1000) = 3 and its inverse exponentiation is 103 = 1000.
In general, for loga(b) = x, a is the base and b is the positive number for which the logarithm to be found.
There are various kinds of logarithm:
- Common Logarithm (base = 10)
- Natural Logarithm (base = e)
- Binary Logarithm (base = 2)
How to Use the Log Calculator?
- Visit the log calculator page.
- Enter the base value (a).
- Then, enter the positive number (b).
- Click on the 'Calculate' button to get the result.
How to Calculate the Logarithms?
Few common and binary logarithms can be calculated in your mind. For example, log10(100) = 2, since 102 = 100. Similarly, for binary logarithms, log2(32) = 5 because 25 = 32. But in most of the cases where the problem is a little bit complex, an online log calculator is advised to use. For example, try to calculate log2(25) in your mind, chances are you might not be able to do it or even if you manage to do it, the changes of errors are very high.
But with the help of a log calculator, you will be able to find the result within a blink of a second with high accuracy and precision. Therefore, one should always use an online log calculator to find the logarithm values.
Solved Example
Example: Solve log2(32).
Base (a) = 2
Number (b) = 32
Then, 2 must be raise to the power 5 to get 32.
25 = 2 x 2 x 2 x 2 x 2 = 32
Thus, log2(32) = 5.
Some Logarithm Examples
| Log | Value |
|---|---|
| log10(100) | 2 |
| log10(1000) | 3 |
| log2(8) | 3 |
| log2(16) | 4 |
| log2(32) | 5 |
| log2(24) | 4.585 |
| log10(16) | 1.20412 |
Reference
- Logarithm Value Retrieved from "Logarithm - Wikipedia"