Log Base 1000 of 2

What is Log Base 1000 of 2 or log1000(2)?

Log1000(2)

= 0.10034333188799

Formula How to
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Logarithm

How to find what is Log Base 1000 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 1000 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log1000(2) =
    loge(2)/loge(1000)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/6.9077552789821
  3. After simplify the fraction, you will get the result. Which is,
    0.10034333188799

log1000(2) or Log Base 1000 of 2 is equal to 0.10034333188799.

loge(1000) 6.9077552789821
log10(1000) 3

loge(2) 0.69314718055995
log10(2) 0.30102999566398

logb(x) Equal to
log1000(1) 0
log1000(2) 0.10034333188799
log1000(3) 0.15904041823989
log1000(4) 0.20068666377599
log1000(5) 0.23299000144534
log1000(6) 0.25938375012788
log1000(7) 0.28169934667142
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