Log Base 124 of 5

What is Log Base 124 of 5 or log124(5)?


Log124(5)

= 0.33388877610764

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 124 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 124 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log124(5) =
    loge(5)/loge(124)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.820281565605
  3. After simplify the fraction, you will get the result. Which is,
    0.33388877610764

log124(5) or Log Base 124 of 5 is equal to 0.33388877610764.

loge(124) 4.820281565605
log10(124) 2.0934216851622

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log124(1) 0
log124(2) 0.14379806887338
log124(3) 0.22791454684042
log124(4) 0.28759613774676
log124(5) 0.33388877610764
log124(6) 0.3717126157138
log124(7) 0.40369221643405
log124(8) 0.43139420662013
log124(9) 0.45582909368084
log124(10) 0.47768684498102