Log Base 12 of 3

What is Log Base 12 of 3 or log12(3)?


Log12(3)

= 0.44211410869774

Formula How to

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How to find what is Log Base 12 of 3? 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 12 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log12(3) =
    loge(3)/loge(12)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/2.484906649788
  3. After simplify the fraction, you will get the result. Which is,
    0.44211410869774

log12(3) or Log Base 12 of 3 is equal to 0.44211410869774.

loge(12) 2.484906649788
log10(12) 1.0791812460476

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log12(1) 0
log12(2) 0.27894294565113
log12(3) 0.44211410869774
log12(4) 0.55788589130226
log12(5) 0.647685462378
log12(6) 0.72105705434887
log12(7) 0.78309185144695
log12(8) 0.83682883695339