Log Base 11 of 2

What is Log Base 11 of 2 or log11(2)?

Log11(2)

= 0.28906482631789

Formula How to
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Logarithm

How to find what is Log Base 11 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 11 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log11(2) =
    loge(2)/loge(11)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/2.3978952727984
  3. After simplify the fraction, you will get the result. Which is,
    0.28906482631789

logb(x) Equal to
log11(1) 0
log11(2) 0.28906482631789
log11(3) 0.45815690999133
log11(4) 0.57812965263578
log11(5) 0.67118774147124
log11(6) 0.74722173630921
log11(7) 0.81150756295725

log11(2) or Log Base 11 of 2 is equal to 0.28906482631789.

loge(11) 2.3978952727984
log10(11) 1.0413926851582

loge(2) 0.69314718055995
log10(2) 0.30102999566398
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