Log Base 10 of 100

What is Log Base 10 of 100 or log10(100)?

Log10(100)

= 2

Formula How to
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Logarithm

How to find what is Log Base 10 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 10 of 100 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log10(100) =
    loge(100)/loge(10)
  2. Calculate the log value for numerator and denominator part.
    4.6051701859881/2.302585092994
  3. After simplify the fraction, you will get the result. Which is,
    2

logb(x) Equal to
log10(95) 1.9777236052888
log10(96) 1.9822712330396
log10(97) 1.9867717342662
log10(98) 1.9912260756925
log10(99) 1.9956351945975
log10(100) 2
log10(101) 2.0043213737826
log10(102) 2.0086001717619
log10(103) 2.0128372247052
log10(104) 2.0170333392988
log10(105) 2.0211892990699

log10(100) or Log Base 10 of 100 is equal to 2.

loge(10) 2.302585092994
log10(10) 1

loge(100) 4.6051701859881
log10(100) 2
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