Log Base 16375 of 3

What is Log Base 16375 of 3 or log16375(3)?

Log16375(3)

= 0.11321801787188

Formula How to
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Logarithm

How to find what is Log Base 16375 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 16375 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log16375(3) =
    loge(3)/loge(16375)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/9.7035110605035
  3. After simplify the fraction, you will get the result. Which is,
    0.11321801787188

log16375(3) or Log Base 16375 of 3 is equal to 0.11321801787188.

loge(16375) 9.7035110605035
log10(16375) 4.2141813086638

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log16375(1) 0
log16375(2) 0.071432616115757
log16375(3) 0.11321801787188
log16375(4) 0.14286523223151
log16375(5) 0.16586139825048
log16375(6) 0.18465063398764
log16375(7) 0.20053670644802
log16375(8) 0.21429784834727
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