Log Base 69 of 4

What is Log Base 69 of 4 or log69(4)?


Log69(4)

= 0.32741131089043

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 69 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 69 of 4 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log69(4) =
    loge(4)/loge(69)
  2. Calculate the log value for numerator and denominator part.
    1.3862943611199/4.2341065045973
  3. After simplify the fraction, you will get the result. Which is,
    0.32741131089043

log69(4) or Log Base 69 of 4 is equal to 0.32741131089043.

loge(69) 4.2341065045973
log10(69) 1.8388490907373

loge(4) 1.3862943611199
log10(4) 0.60205999132796

logb(x) Equal to
log69(1) 0
log69(2) 0.16370565544522
log69(3) 0.25946732503664
log69(4) 0.32741131089043
log69(5) 0.3801127606702
log69(6) 0.42317298048186
log69(7) 0.45957987758279
log69(8) 0.49111696633565
log69(9) 0.51893465007329