Log Base 5 of 100

What is Log Base 5 of 100 or log5(100)?

Log5(100)

= 2.8613531161468

Formula How to
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Logarithm

How to find what is Log Base 5 of 100? 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 5 of 100 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log5(100) =
    loge(100)/loge(5)
  2. Calculate the log value for numerator and denominator part.
    4.6051701859881/1.6094379124341
  3. After simplify the fraction, you will get the result. Which is,
    2.8613531161468

logb(x) Equal to
log5(95) 2.8294828004352
log5(96) 2.835988984853
log5(97) 2.8424277464575
log5(98) 2.8488004683177
log5(99) 2.8551084913769
log5(100) 2.8613531161468
log5(101) 2.8675356043163
log5(102) 2.873657180282
log5(103) 2.8797190326032
log5(104) 2.8857223153873
log5(105) 2.8916681496082

log5(100) or Log Base 5 of 100 is equal to 2.8613531161468.

loge(5) 1.6094379124341
log10(5) 0.69897000433602

loge(100) 4.6051701859881
log10(100) 2
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