Log Base 64 of 2

What is Log Base 64 of 2 or log64(2)?

Log64(2)

= 0.16666666666667

Formula How to
Share This Calculation:
Reference This Calculation:
Logarithm

How to find what is Log Base 64 of 2? 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 64 of 2 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log64(2) =
    loge(2)/loge(64)
  2. Calculate the log value for numerator and denominator part.
    0.69314718055995/4.1588830833597
  3. After simplify the fraction, you will get the result. Which is,
    0.16666666666667

log64(2) or Log Base 64 of 2 is equal to 0.16666666666667.

loge(64) 4.1588830833597
log10(64) 1.8061799739839

loge(2) 0.69314718055995
log10(2) 0.30102999566398

logb(x) Equal to
log64(1) 0
log64(2) 0.16666666666667
log64(3) 0.26416041678686
log64(4) 0.33333333333333
log64(5) 0.38698801581456
log64(6) 0.43082708345353
log64(7) 0.4678924870096
Calculations