Log Base 100 of 13

What is Log Base 100 of 13 or log100(13)?

Log100(13)

= 0.55697167615342

Formula How to
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Logarithm

How to find what is Log Base 100 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 100 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log100(13) =
    loge(13)/loge(100)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/4.6051701859881
  3. After simplify the fraction, you will get the result. Which is,
    0.55697167615342

log100(13) or Log Base 100 of 13 is equal to 0.55697167615342.

loge(100) 4.6051701859881
log10(100) 2

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log100(8) 0.45154499349597
log100(9) 0.47712125471966
log100(10) 0.5
log100(11) 0.52069634257911
log100(12) 0.53959062302381
log100(13) 0.55697167615342
log100(14) 0.57306401783912
log100(15) 0.58804562952784
log100(16) 0.60205999132796
log100(17) 0.61522446068914
log100(18) 0.62763625255165
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