Log Base 504 of 13

What is Log Base 504 of 13 or log504(13)?

Log504(13)

= 0.41220054957342

Formula How to
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Logarithm

How to find what is Log Base 504 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 504 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log504(13) =
    loge(13)/loge(504)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/6.2225762680714
  3. After simplify the fraction, you will get the result. Which is,
    0.41220054957342

log504(13) or Log Base 504 of 13 is equal to 0.41220054957342.

loge(504) 6.2225762680714
log10(504) 2.7024305364455

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log504(8) 0.33417694731194
log504(9) 0.35310528672993
log504(10) 0.37003726331308
log504(11) 0.38535409925021
log504(12) 0.39933727490626
log504(13) 0.41220054957342
log504(14) 0.42411008172877
log504(15) 0.4351975909074
log504(16) 0.44556926308259
log504(17) 0.45531195151335
log504(18) 0.46449760250058
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