Log Base 238 of 3

What is Log Base 238 of 3 or log238(3)?

Log238(3)

= 0.20075985896564

Formula How to
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Logarithm

How to find what is Log Base 238 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 238 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log238(3) =
    loge(3)/loge(238)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/5.4722706736715
  3. After simplify the fraction, you will get the result. Which is,
    0.20075985896564

log238(3) or Log Base 238 of 3 is equal to 0.20075985896564.

loge(238) 5.4722706736715
log10(238) 2.3765769570565

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log238(1) 0
log238(2) 0.12666536834423
log238(3) 0.20075985896564
log238(4) 0.25333073668847
log238(5) 0.29410787740773
log238(6) 0.32742522730988
log238(7) 0.35559464527542
log238(8) 0.3799961050327
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