Log Base 37 of 8

What is Log Base 37 of 8 or log37(8)?

Log37(8)

= 0.57587616001968

Formula How to
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Logarithm

How to find what is Log Base 37 of 8? 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 37 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log37(8) =
    loge(8)/loge(37)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/3.6109179126442
  3. After simplify the fraction, you will get the result. Which is,
    0.57587616001968

log37(8) or Log Base 37 of 8 is equal to 0.57587616001968.

loge(37) 3.6109179126442
log10(37) 1.568201724067

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log37(3) 0.30424737289683
log37(4) 0.38391744001312
log37(5) 0.44571434504185
log37(6) 0.49620609290339
log37(7) 0.53889625744229
log37(8) 0.57587616001968
log37(9) 0.60849474579366
log37(10) 0.63767306504841
log37(11) 0.66406806546384
log37(12) 0.68816481290995
log37(13) 0.7103316717558
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