Log Base 20 of 21

What is Log Base 20 of 21 or log20(21)?

Log20(21)

= 1.016286556913

Formula How to
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Logarithm

How to find what is Log Base 20 of 21? 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 21 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log20(21) =
    loge(21)/loge(20)
  2. Calculate the log value for numerator and denominator part.
    3.0445224377234/2.995732273554
  3. After simplify the fraction, you will get the result. Which is,
    1.016286556913

log20(21) or Log Base 20 of 21 is equal to 1.016286556913.

loge(20) 2.995732273554
log10(20) 1.301029995664

loge(21) 3.0445224377234
log10(21) 1.3222192947339

logb(x) Equal to
log20(16) 0.92551285263904
log20(17) 0.94574984856542
log20(18) 0.96482979584393
log20(19) 0.98287787769276
log20(20) 1
log20(21) 1.016286556913
log20(22) 1.0318153196284
log20(23) 1.0466536825099
log20(24) 1.0608604308214
log20(25) 1.074487147361
log20(26) 1.0875793430486
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