Log Base 20 of 488

What is Log Base 20 of 488 or log20(488)?


Log20(488)

= 2.0663780473644

Formula How to

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How to find what is Log Base 20 of 488? 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 488 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log20(488) =
    loge(488)/loge(20)
  2. Calculate the log value for numerator and denominator part.
    6.1903154058531/2.995732273554
  3. After simplify the fraction, you will get the result. Which is,
    2.0663780473644

logb(x) Equal to
log20(483) 2.062940239423
log20(484) 2.0636306392569
log20(485) 2.0643196141159
log20(486) 2.0650071698702
log20(487) 2.0656933123537
log20(488) 2.0663780473644
log20(489) 2.0670613806649
log20(490) 2.0677433179821
log20(491) 2.0684238650083
log20(492) 2.0691030274006
log20(493) 2.0697808107821

log20(488) or Log Base 20 of 488 is equal to 2.0663780473644.

loge(20) 2.995732273554
log10(20) 1.301029995664

loge(488) 6.1903154058531
log10(488) 2.6884198220027