Log Base 9 of 3

What is Log Base 9 of 3 or log9(3)?

Log9(3)

= 0.5

Formula How to
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Logarithm

How to find what is Log Base 9 of 3? 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 9 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(3) =
    loge(3)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    0.5

logb(x) Equal to
log9(1) 0
log9(2) 0.31546487678573
log9(3) 0.5
log9(4) 0.63092975357146
log9(5) 0.73248676035896
log9(6) 0.81546487678573
log9(7) 0.88562187458071
log9(8) 0.94639463035719

log9(3) or Log Base 9 of 3 is equal to 0.5.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(3) 1.0986122886681
log10(3) 0.47712125471966
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