Log Base 9 of 729

What is Log Base 9 of 729 or log9(729)?

Log9(729)

= 3

Formula How to
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Logarithm

How to find what is Log Base 9 of 729? 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 729 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(729) =
    loge(729)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    6.5916737320087/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    3

logb(x) Equal to
log9(724) 2.9968677122521
log9(725) 2.9974958967733
log9(726) 2.9981232154299
log9(727) 2.9987496706056
log9(728) 2.9993752646743
log9(729) 3
log9(730) 3.0006238789371
log9(731) 3.0012469038301
log9(732) 3.0018690770143
log9(733) 3.0024904008149
log9(734) 3.0031108775481

log9(729) or Log Base 9 of 729 is equal to 3.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(729) 6.5916737320087
log10(729) 2.862727528318
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