Log Base 67 of 4

What is Log Base 67 of 4 or log67(4)?


Log67(4)

= 0.32970171344432

Formula How to

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How to find what is Log Base 67 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 67 of 4 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log67(4) =
    loge(4)/loge(67)
  2. Calculate the log value for numerator and denominator part.
    1.3862943611199/4.204692619391
  3. After simplify the fraction, you will get the result. Which is,
    0.32970171344432

log67(4) or Log Base 67 of 4 is equal to 0.32970171344432.

loge(67) 4.204692619391
log10(67) 1.8260748027008

loge(4) 1.3862943611199
log10(4) 0.60205999132796

logb(x) Equal to
log67(1) 0
log67(2) 0.16485085672216
log67(3) 0.26128242611638
log67(4) 0.32970171344432
log67(5) 0.38277183568944
log67(6) 0.42613328283854
log67(7) 0.46279486402437
log67(8) 0.49455257016648
log67(9) 0.52256485223276