Log Base 2 of 1024

What is Log Base 2 of 1024 or log2(1024)?

Log2(1024)

= 10

Formula How to
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Logarithm

How to find what is Log Base 2 of 1024? 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 2 of 1024 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log2(1024) =
    loge(1024)/loge(2)
  2. Calculate the log value for numerator and denominator part.
    6.9314718055995/0.69314718055995
  3. After simplify the fraction, you will get the result. Which is,
    10

log2(1024) or Log Base 2 of 1024 is equal to 10.

loge(2) 0.69314718055995
log10(2) 0.30102999566398

loge(1024) 6.9314718055995
log10(1024) 3.0102999566398

logb(x) Equal to
log2(1019) 9.9929383361658
log2(1020) 9.9943534368589
log2(1021) 9.9957671508778
log2(1022) 9.9971794809376
log2(1023) 9.9985904297453
log2(1024) 10
log2(1025) 10.001408194393
log2(1026) 10.002815015607
log2(1027) 10.004220466318
log2(1028) 10.005624549194
log2(1029) 10.007027266894
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