Log Base 88 of 4

What is Log Base 88 of 4 or log88(4)?


Log88(4)

= 0.30962476547154

Formula How to

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How to find what is Log Base 88 of 4? 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 88 of 4 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log88(4) =
    loge(4)/loge(88)
  2. Calculate the log value for numerator and denominator part.
    1.3862943611199/4.4773368144782
  3. After simplify the fraction, you will get the result. Which is,
    0.30962476547154

log88(4) or Log Base 88 of 4 is equal to 0.30962476547154.

loge(88) 4.4773368144782
log10(88) 1.9444826721502

loge(4) 1.3862943611199
log10(4) 0.60205999132796

logb(x) Equal to
log88(1) 0
log88(2) 0.15481238273577
log88(3) 0.24537182128348
log88(4) 0.30962476547154
log88(5) 0.35946322091064
log88(6) 0.40018420401925
log88(7) 0.43461330466872
log88(8) 0.4644371482073
log88(9) 0.49074364256697