Log Base 65 of 8

What is Log Base 65 of 8 or log65(8)?


Log65(8)

= 0.49814293864781

Formula How to

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How to find what is Log Base 65 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 65 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log65(8) =
    loge(8)/loge(65)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/4.1743872698956
  3. After simplify the fraction, you will get the result. Which is,
    0.49814293864781

log65(8) or Log Base 65 of 8 is equal to 0.49814293864781.

loge(65) 4.1743872698956
log10(65) 1.8129133566429

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log65(3) 0.26317929258527
log65(4) 0.33209529243188
log65(5) 0.3855506948387
log65(6) 0.42922693880121
log65(7) 0.46615467690039
log65(8) 0.49814293864781
log65(9) 0.52635858517055
log65(10) 0.55159834105464
log65(11) 0.57443047751972
log65(12) 0.59527458501715
log65(13) 0.6144493051613