Log Base 1000001 of 11

What is Log Base 1000001 of 11 or log1000001(11)?


Log1000001(11)

= 0.17356543496329

Formula How to

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How to find what is Log Base 1000001 of 11? 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 1000001 of 11 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log1000001(11) =
    loge(11)/loge(1000001)
  2. Calculate the log value for numerator and denominator part.
    2.3978952727984/13.815511557964
  3. After simplify the fraction, you will get the result. Which is,
    0.17356543496329

log1000001(11) or Log Base 1000001 of 11 is equal to 0.17356543496329.

loge(1000001) 13.815511557964
log10(1000001) 6.0000004342943

loge(11) 2.3978952727984
log10(11) 1.0413926851582

logb(x) Equal to
log1000001(6) 0.12969186567654
log1000001(7) 0.14084966314068
log1000001(8) 0.15051498693736
log1000001(9) 0.15904040672816
log1000001(10) 0.16666665460294
log1000001(11) 0.17356543496329
log1000001(12) 0.17986352798899
log1000001(13) 0.18565721194616
log1000001(14) 0.19102132545313
log1000001(15) 0.19601519565457
log1000001(16) 0.20068664924981