Log Base 501 of 2

What is Log Base 501 of 2 or log501(2)?

Log501(2)

= 0.11149929226479

Formula How to
Share This Calculation:
Reference This Calculation:
Logarithm

How to find what is Log Base 501 of 2? The logarithm of a number to a given base is the exponent to which the base must be raised to produce the number. In mathematical terms, if "b" is the base and "x" is the number, then the logarithm of "x" to the base "b" is written as logb(x) and is defined as the exponent "y" such that b^y = x.

The logarithm of a number to a given base is a useful tool in many areas of mathematics and science, including finance, engineering, and physics. It's also used in solving exponential equations and in graphing logarithmic functions.

In mathematics, the most common logarithms are logarithms to the base 10, which are called common logarithms, and logarithms to the base e, which are called natural logarithms. The natural logarithm is denoted by the symbol ln, and has special properties in calculus and other areas of mathematics.

To calculate any "log base of" use this fromula, which is given below-

logb(x) =
loge(x)/loge(b)
; x>0, b>1;

Where,

  • b = base;
  • x = value;

For calculation, here's how to calculate log base 501 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log501(2) =
    loge(2)/loge(501)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/6.2166061010849
  3. After simplify the fraction, you will get the result. Which is,
    0.11149929226479

log501(2) or Log Base 501 of 2 is equal to 0.11149929226479.

loge(501) 6.2166061010849
log10(501) 2.6998377258672

loge(2) 0.69314718055995
log10(2) 0.30102999566398

logb(x) Equal to
log501(1) 0
log501(2) 0.11149929226479
log501(3) 0.17672219709664
log501(4) 0.22299858452958
log501(5) 0.25889333926968
log501(6) 0.28822148936143
log501(7) 0.3130180869455
Calculations