Log Base 14 of 16

What is Log Base 14 of 16 or log14(16)?


Log14(16)

= 1.0505981401488

Formula How to

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How to find what is Log Base 14 of 16? 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 16 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log14(16) =
    loge(16)/loge(14)
  2. Calculate the log value for numerator and denominator part.
    2.7725887222398/2.6390573296153
  3. After simplify the fraction, you will get the result. Which is,
    1.0505981401488

log14(16) or Log Base 14 of 16 is equal to 1.0505981401488.

loge(14) 2.6390573296153
log10(14) 1.1461280356782

loge(16) 2.7725887222398
log10(16) 1.2041199826559

logb(x) Equal to
log14(11) 0.90861810612805
log14(12) 0.94158873394019
log14(13) 0.97191877140292
log14(14) 1
log14(15) 1.0261429983778
log14(16) 1.0505981401488
log14(17) 1.0735702147362
log14(18) 1.0952288627688
log14(19) 1.1157161862777
log14(20) 1.1351524045863
log14(21) 1.1536401288286