Log Base 20 of 3

What is Log Base 20 of 3 or log20(3)?

Log20(3)

= 0.36672579134208

Formula How to
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Logarithm

How to find what is Log Base 20 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 20 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log20(3) =
    loge(3)/loge(20)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/2.995732273554
  3. After simplify the fraction, you will get the result. Which is,
    0.36672579134208

log20(3) or Log Base 20 of 3 is equal to 0.36672579134208.

loge(20) 2.995732273554
log10(20) 1.301029995664

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log20(1) 0
log20(2) 0.23137821315976
log20(3) 0.36672579134208
log20(4) 0.46275642631952
log20(5) 0.53724357368048
log20(6) 0.59810400450184
log20(7) 0.64956076557094
log20(8) 0.69413463947928
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