Log Base 10 of 13

What is Log Base 10 of 13 or log10(13)?

Log10(13)

= 1.1139433523068

Formula How to
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Logarithm

How to find what is Log Base 10 of 13? 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 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log10(13) =
    loge(13)/loge(10)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/2.302585092994
  3. After simplify the fraction, you will get the result. Which is,
    1.1139433523068

logb(x) Equal to
log10(8) 0.90308998699194
log10(9) 0.95424250943932
log10(10) 1
log10(11) 1.0413926851582
log10(12) 1.0791812460476
log10(13) 1.1139433523068
log10(14) 1.1461280356782
log10(15) 1.1760912590557
log10(16) 1.2041199826559
log10(17) 1.2304489213783
log10(18) 1.2552725051033

log10(13) or Log Base 10 of 13 is equal to 1.1139433523068.

loge(10) 2.302585092994
log10(10) 1

loge(13) 2.5649493574615
log10(13) 1.1139433523068
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