Log Base 20 of 16

What is Log Base 20 of 16 or log20(16)?


Log20(16)

= 0.92551285263904

Formula How to

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How to find what is Log Base 20 of 16? 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 16 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log20(16) =
    loge(16)/loge(20)
  2. Calculate the log value for numerator and denominator part.
    2.7725887222398/2.995732273554
  3. After simplify the fraction, you will get the result. Which is,
    0.92551285263904

log20(16) or Log Base 20 of 16 is equal to 0.92551285263904.

loge(20) 2.995732273554
log10(20) 1.301029995664

loge(16) 2.7725887222398
log10(16) 1.2041199826559

logb(x) Equal to
log20(11) 0.80043710646867
log20(12) 0.8294822176616
log20(13) 0.85620112988889
log20(14) 0.8809389787307
log20(15) 0.90396936502257
log20(16) 0.92551285263904
log20(17) 0.94574984856542
log20(18) 0.96482979584393
log20(19) 0.98287787769276
log20(20) 1
log20(21) 1.016286556913