Log Base 66 of 8

What is Log Base 66 of 8 or log66(8)?

Log66(8)

= 0.49632766175717

Formula How to
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Logarithm

How to find what is Log Base 66 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 66 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log66(8) =
    loge(8)/loge(66)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/4.1896547420264
  3. After simplify the fraction, you will get the result. Which is,
    0.49632766175717

log66(8) or Log Base 66 of 8 is equal to 0.49632766175717.

loge(66) 4.1896547420264
log10(66) 1.8195439355419

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log66(3) 0.26222024398525
log66(4) 0.33088510783812
log66(5) 0.38414571403458
log66(6) 0.4276627979043
log66(7) 0.46445596806245
log66(8) 0.49632766175717
log66(9) 0.52444048797049
log66(10) 0.54958826795364
log66(11) 0.5723372020957
log66(12) 0.59310535182336
log66(13) 0.61221019759278
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