Log Base 1020 of 16

What is Log Base 1020 of 16 or log1020(16)?

Log1020(16)

= 0.4002259901324

Formula How to
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Logarithm

How to find what is Log Base 1020 of 16? 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 1020 of 16 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log1020(16) =
    loge(16)/loge(1020)
  2. Calculate the log value for numerator and denominator part.
    2.7725887222398/6.9275579062783
  3. After simplify the fraction, you will get the result. Which is,
    0.4002259901324

log1020(16) or Log Base 1020 of 16 is equal to 0.4002259901324.

loge(1020) 6.9275579062783
log10(1020) 3.0086001717619

loge(16) 2.7725887222398
log10(16) 1.2041199826559

logb(x) Equal to
log1020(11) 0.34613861121611
log1020(12) 0.35869879160966
log1020(13) 0.37025303752957
log1020(14) 0.38095059836649
log1020(15) 0.3909097892416
log1020(16) 0.4002259901324
log1020(17) 0.4089772156922
log1020(18) 0.41722809062003
log1020(19) 0.42503274876966
log1020(20) 0.43243698776433
log1020(21) 0.43947989737686
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