Log Base 2 of 10001

What is Log Base 2 of 10001 or log2(10001)?


Log2(10001)

= 13.287856641841

Formula How to

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How to find what is Log Base 2 of 10001? 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 2 of 10001 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log2(10001) =
    loge(10001)/loge(2)
  2. Calculate the log value for numerator and denominator part.
    9.2104403669765/0.69314718055995
  3. After simplify the fraction, you will get the result. Which is,
    13.287856641841

logb(x) Equal to
log2(9996) 13.287135186087
log2(9997) 13.287279506103
log2(9998) 13.287423811684
log2(9999) 13.287568102831
log2(10000) 13.287712379549
log2(10001) 13.287856641841
log2(10002) 13.288000889708
log2(10003) 13.288145123153
log2(10004) 13.288289342181
log2(10005) 13.288433546793
log2(10006) 13.288577736993

log2(10001) or Log Base 2 of 10001 is equal to 13.287856641841.

loge(2) 0.69314718055995
log10(2) 0.30102999566398

loge(10001) 9.2104403669765
log10(10001) 4.0000434272769