Log Base 1004 of 13

What is Log Base 1004 of 13 or log1004(13)?


Log1004(13)

= 0.37109999049996

Formula How to

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How to find what is Log Base 1004 of 13? 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 1004 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log1004(13) =
    loge(13)/loge(1004)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/6.9117473002517
  3. After simplify the fraction, you will get the result. Which is,
    0.37109999049996

log1004(13) or Log Base 1004 of 13 is equal to 0.37109999049996.

loge(1004) 6.9117473002517
log10(1004) 3.001733712809

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log1004(8) 0.30085612962212
log1004(9) 0.31789712237544
log1004(10) 0.33314080983693
log1004(11) 0.34693040249186
log1004(12) 0.35951931426913
log1004(13) 0.37109999049996
log1004(14) 0.38182202198266
log1004(15) 0.39180399448394
log1004(16) 0.40114150616282
log1004(17) 0.40991275013093
log1004(18) 0.41818249891615