Log Base 4002 of 2

What is Log Base 4002 of 2 or log4002(2)?

Log4002(2)

= 0.083566585417863

Formula How to
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Logarithm

How to find what is Log Base 4002 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 4002 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log4002(2) =
    loge(2)/loge(4002)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/8.2945495151437
  3. After simplify the fraction, you will get the result. Which is,
    0.083566585417863

log4002(2) or Log Base 4002 of 2 is equal to 0.083566585417863.

loge(4002) 8.2945495151437
log10(4002) 3.6022770843002

loge(2) 0.69314718055995
log10(2) 0.30102999566398

logb(x) Equal to
log4002(1) 0
log4002(2) 0.083566585417863
log4002(3) 0.13244990420062
log4002(4) 0.16713317083573
log4002(5) 0.19403560247554
log4002(6) 0.21601648961849
log4002(7) 0.23460106489238
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