Log Base 998 of 13

What is Log Base 998 of 13 or log998(13)?

Log998(13)

= 0.37142209616147

Formula How to
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Logarithm

How to find what is Log Base 998 of 13? 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 998 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log998(13) =
    loge(13)/loge(998)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/6.9057532763115
  3. After simplify the fraction, you will get the result. Which is,
    0.37142209616147

log998(13) or Log Base 998 of 13 is equal to 0.37142209616147.

loge(998) 6.9057532763115
log10(998) 2.9991305412874

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log998(8) 0.30111726534061
log998(9) 0.31817304925637
log998(10) 0.33342996786354
log998(11) 0.34723152954563
log998(12) 0.35983136818859
log998(13) 0.37142209616147
log998(14) 0.38215343410369
log998(15) 0.39214407071152
log998(16) 0.40148968712081
log998(17) 0.41026854431288
log998(18) 0.41854547103658
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