Log Base 65521 of 3

What is Log Base 65521 of 3 or log65521(3)?

Log65521(3)

= 0.099062200966666

Formula How to
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Logarithm

How to find what is Log Base 65521 of 3? 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 65521 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log65521(3) =
    loge(3)/loge(65521)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/11.090125980926
  3. After simplify the fraction, you will get the result. Which is,
    0.099062200966666

log65521(3) or Log Base 65521 of 3 is equal to 0.099062200966666.

loge(65521) 11.090125980926
log10(65521) 4.8163805171279

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log65521(1) 0
log65521(2) 0.062501290044145
log65521(3) 0.099062200966666
log65521(4) 0.12500258008829
log65521(5) 0.1451235013202
log65521(6) 0.16156349101081
log65521(7) 0.17546330424038
log65521(8) 0.18750387013243
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