Log Base 39 of 8

What is Log Base 39 of 8 or log39(8)?


Log39(8)

= 0.56760107855061

Formula How to

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How to find what is Log Base 39 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 39 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log39(8) =
    loge(8)/loge(39)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/3.6635616461296
  3. After simplify the fraction, you will get the result. Which is,
    0.56760107855061

log39(8) or Log Base 39 of 8 is equal to 0.56760107855061.

loge(39) 3.6635616461296
log10(39) 1.5910646070265

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log39(3) 0.2998754749572
log39(4) 0.37840071903374
log39(5) 0.43930963032501
log39(6) 0.48907583447407
log39(7) 0.53115256054475
log39(8) 0.56760107855061
log39(9) 0.5997509499144
log39(10) 0.62850998984188
log39(11) 0.6545257059702
log39(12) 0.67827619399094
log39(13) 0.7001245250428