Log Base 10 of 1000

What is Log Base 10 of 1000 or log10(1000)?

Log10(1000)

= 3

Formula How to
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Logarithm

How to find what is Log Base 10 of 1000? 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 1000 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log10(1000) =
    loge(1000)/loge(10)
  2. Calculate the log value for numerator and denominator part.
    6.9077552789821/2.302585092994
  3. After simplify the fraction, you will get the result. Which is,
    3

log10(1000) or Log Base 10 of 1000 is equal to 3.

loge(10) 2.302585092994
log10(10) 1

loge(1000) 6.9077552789821
log10(1000) 3

logb(x) Equal to
log10(995) 2.9978230807457
log10(996) 2.9982593384237
log10(997) 2.9986951583117
log10(998) 2.9991305412874
log10(999) 2.999565488226
log10(1000) 3
log10(1001) 3.0004340774793
log10(1002) 3.0008677215312
log10(1003) 3.0013009330204
log10(1004) 3.001733712809
log10(1005) 3.0021660617565
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