Log Base 59 of 8

What is Log Base 59 of 8 or log59(8)?

Log59(8)

= 0.50997484886074

Formula How to
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Logarithm

How to find what is Log Base 59 of 8? 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 59 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log59(8) =
    loge(8)/loge(59)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/4.0775374439057
  3. After simplify the fraction, you will get the result. Which is,
    0.50997484886074

log59(8) or Log Base 59 of 8 is equal to 0.50997484886074.

loge(59) 4.0775374439057
log10(59) 1.7708520116421

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log59(3) 0.26943033725174
log59(4) 0.33998323257383
log59(5) 0.3947083097519
log59(6) 0.43942195353865
log59(7) 0.4772268006916
log59(8) 0.50997484886074
log59(9) 0.53886067450348
log59(10) 0.56469992603881
log59(11) 0.58807437228621
log59(12) 0.60941356982557
log59(13) 0.6290437286591
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