Log Base 137 of 11

What is Log Base 137 of 11 or log137(11)?


Log137(11)

= 0.48737897746926

Formula How to

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How to find what is Log Base 137 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 137 of 11 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log137(11) =
    loge(11)/loge(137)
  2. Calculate the log value for numerator and denominator part.
    2.3978952727984/4.9199809258281
  3. After simplify the fraction, you will get the result. Which is,
    0.48737897746926

log137(11) or Log Base 137 of 11 is equal to 0.48737897746926.

loge(137) 4.9199809258281
log10(137) 2.1367205671564

loge(11) 2.3978952727984
log10(11) 1.0413926851582

logb(x) Equal to
log137(6) 0.36418016578519
log137(7) 0.39551172624267
log137(8) 0.42265235841942
log137(9) 0.4465920926241
log137(10) 0.4680069146013
log137(11) 0.48737897746926
log137(12) 0.50506428525833
log137(13) 0.52133319135375
log137(14) 0.53639584571582
log137(15) 0.5504188414402
log137(16) 0.56353647789256