Log Base 85 of 3

What is Log Base 85 of 3 or log85(3)?

Log85(3)

= 0.2472875373828

Formula How to
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Logarithm

How to find what is Log Base 85 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 85 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log85(3) =
    loge(3)/loge(85)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/4.4426512564903
  3. After simplify the fraction, you will get the result. Which is,
    0.2472875373828

log85(3) or Log Base 85 of 3 is equal to 0.2472875373828.

loge(85) 4.4426512564903
log10(85) 1.9294189257143

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log85(1) 0
log85(2) 0.15602106502222
log85(3) 0.2472875373828
log85(4) 0.31204213004445
log85(5) 0.36226969426935
log85(6) 0.40330860240503
log85(7) 0.43800650483481
log85(8) 0.46806319506667
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