Log Base 68 of 4

What is Log Base 68 of 4 or log68(4)?


Log68(4)

= 0.3285440999241

Formula How to

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How to find what is Log Base 68 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 68 of 4 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log68(4) =
    loge(4)/loge(68)
  2. Calculate the log value for numerator and denominator part.
    1.3862943611199/4.2195077051761
  3. After simplify the fraction, you will get the result. Which is,
    0.3285440999241

log68(4) or Log Base 68 of 4 is equal to 0.3285440999241.

loge(68) 4.2195077051761
log10(68) 1.8325089127062

loge(4) 1.3862943611199
log10(4) 0.60205999132796

logb(x) Equal to
log68(1) 0
log68(2) 0.16427204996205
log68(3) 0.26036503910644
log68(4) 0.3285440999241
log68(5) 0.38142788801162
log68(6) 0.42463708906849
log68(7) 0.46116994801745
log68(8) 0.49281614988615
log68(9) 0.52073007821288