Log Base 4 of 10007

What is Log Base 4 of 10007 or log4(10007)?


Log4(10007)

= 6.6443609563913

Formula How to

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How to find what is Log Base 4 of 10007? 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 4 of 10007 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log4(10007) =
    loge(10007)/loge(4)
  2. Calculate the log value for numerator and denominator part.
    9.2110401270905/1.3862943611199
  3. After simplify the fraction, you will get the result. Which is,
    6.6443609563913

logb(x) Equal to
log4(10002) 6.6440004448538
log4(10003) 6.6440725615767
log4(10004) 6.6441446710905
log4(10005) 6.6442167733966
log4(10006) 6.6442888684964
log4(10007) 6.6443609563913
log4(10008) 6.6444330370829
log4(10009) 6.6445051105725
log4(10010) 6.6445771768617
log4(10011) 6.6446492359517
log4(10012) 6.6447212878442

log4(10007) or Log Base 4 of 10007 is equal to 6.6443609563913.

loge(4) 1.3862943611199
log10(4) 0.60205999132796

loge(10007) 9.2110401270905
log10(10007) 4.0003038997848