Log Base 14 of 3

What is Log Base 14 of 3 or log14(3)?


Log14(3)

= 0.4162896638658

Formula How to

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How to find what is Log Base 14 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 14 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log14(3) =
    loge(3)/loge(14)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/2.6390573296153
  3. After simplify the fraction, you will get the result. Which is,
    0.4162896638658

log14(3) or Log Base 14 of 3 is equal to 0.4162896638658.

loge(14) 2.6390573296153
log10(14) 1.1461280356782

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log14(1) 0
log14(2) 0.26264953503719
log14(3) 0.4162896638658
log14(4) 0.52529907007439
log14(5) 0.60985333451196
log14(6) 0.67893919890299
log14(7) 0.73735046496281
log14(8) 0.78794860511158