Log base 4 of 2100?| Log4 Calculator

Here is the answer to questions like: Log base 4 of 2100? or what is the base 4 log of 2100?

Use the | Log4 calculator below to find the logarithm of any positive number for any number base you enter.

Logarithm Calculator

Please enter the base (b) and a positive number (n) to calculate logbn:
The base  log of  = ?   
Result:
The base 4 logarithm of 2100 is 5.5180868062767 or log42100 = 5.5180868062767.
Notes:
i) e and pi are accepted values.
ii) 1.2 x 103 should be entered as 1.2e3 and
iii) 1.2 x 10-3 as 1.2e-3

What is logarithm?

A logarithm is the power to which a number must be raised in order to get some other number. In other words, the logarithm tells us how many of one number should be multiplied to get another number.

For example:

  • The base 2 logarithm of 4 is 2, because 2 raised to the power of 2 is 4:
  • log3 9 = 2, because 32 = 9

This is an example of a base-3 logarithm. We call it a base-3 logarithm because 3 is the number that is raised to a power.

The most common logarithms are natural logarithms and base 10 logarithms. There are special notations for them:

  • A base 10 log is written simply log.
  • A natural logarithm is written simply as ln.

So, the notation log alone means base ten logarithm and notation ln, means natural log.

Basic Log Rules

  • logb(x·y) = logb(x) + logb(y)
  • logbx/y) = logb(x) - logb(y)
  • logb(xy) = y·logb(x)
  • logb(x) = logk(x)/logk(b)

Log Calculator

Log Calculator

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