Log Base 498 of 2

What is Log Base 498 of 2 or log498(2)?

Log498(2)

= 0.11160711879101

Formula How to
Share This Calculation:
Reference This Calculation:
Logarithm

How to find what is Log Base 498 of 2? 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 498 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log498(2) =
    loge(2)/loge(498)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/6.2106000770247
  3. After simplify the fraction, you will get the result. Which is,
    0.11160711879101

log498(2) or Log Base 498 of 2 is equal to 0.11160711879101.

loge(498) 6.2106000770247
log10(498) 2.6972293427597

loge(2) 0.69314718055995
log10(2) 0.30102999566398

logb(x) Equal to
log498(1) 0
log498(2) 0.11160711879101
log498(3) 0.17689309809728
log498(4) 0.22321423758202
log498(5) 0.25914370471028
log498(6) 0.28850021688829
log498(7) 0.31332079427461
Calculations