Log Base 242 of 8

What is Log Base 242 of 8 or log242(8)?


Log242(8)

= 0.3788422542618

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 242 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 242 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log242(8) =
    loge(8)/loge(242)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/5.4889377261567
  3. After simplify the fraction, you will get the result. Which is,
    0.3788422542618

log242(8) or Log Base 242 of 8 is equal to 0.3788422542618.

loge(242) 5.4889377261567
log10(242) 2.3838153659804

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log242(3) 0.20015025556454
log242(4) 0.2525615028412
log242(5) 0.29321482456698
log242(6) 0.32643100698514
log242(7) 0.35451488906175
log242(8) 0.3788422542618
log242(9) 0.40030051112908
log242(10) 0.41949557598758
log242(11) 0.4368596242897
log242(12) 0.45271175840574
log242(13) 0.46729430819349