Log Base 31 of 8

What is Log Base 31 of 8 or log31(8)?

Log31(8)

= 0.6055472597463

Formula How to
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Logarithm

How to find what is Log Base 31 of 8? 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 31 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log31(8) =
    loge(8)/loge(31)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/3.4339872044851
  3. After simplify the fraction, you will get the result. Which is,
    0.6055472597463

log31(8) or Log Base 31 of 8 is equal to 0.6055472597463.

loge(31) 3.4339872044851
log10(31) 1.4913616938343

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log31(3) 0.31992323303745
log31(4) 0.4036981731642
log31(5) 0.46867906506233
log31(6) 0.52177231961955
log31(7) 0.56666202672909
log31(8) 0.6055472597463
log31(9) 0.63984646607489
log31(10) 0.67052815164443
log31(11) 0.69828311231517
log31(12) 0.72362140620165
log31(13) 0.7469303770589
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