Log Base 126 of 5

What is Log Base 126 of 5 or log126(5)?


Log126(5)

= 0.3327841394276

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 126 of 5? 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 126 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log126(5) =
    loge(5)/loge(126)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.8362819069515
  3. After simplify the fraction, you will get the result. Which is,
    0.3327841394276

log126(5) or Log Base 126 of 5 is equal to 0.3327841394276.

loge(126) 4.8362819069515
log10(126) 2.1003705451176

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log126(1) 0
log126(2) 0.14332232775009
log126(3) 0.22716051499996
log126(4) 0.28664465550019
log126(5) 0.3327841394276
log126(6) 0.37048284275006
log126(7) 0.40235664224998
log126(8) 0.42996698325028
log126(9) 0.45432102999993
log126(10) 0.47610646717769