Log Base 29 of 13

What is Log Base 29 of 13 or log29(13)?


Log29(13)

= 0.76172379469013

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 29 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 29 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log29(13) =
    loge(13)/loge(29)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/3.3672958299865
  3. After simplify the fraction, you will get the result. Which is,
    0.76172379469013

log29(13) or Log Base 29 of 13 is equal to 0.76172379469013.

loge(29) 3.3672958299865
log10(29) 1.462397997899

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log29(8) 0.6175404973813
log29(9) 0.65251902068404
log29(10) 0.68380837599389
log29(11) 0.71211304080996
log29(12) 0.73795317526289
log29(13) 0.76172379469013
log29(14) 0.7837319507582
log29(15) 0.80422105387547
log29(16) 0.82338732984174
log29(17) 0.84139127867111
log29(18) 0.85836585314447