Log Base 9 of 81

What is Log Base 9 of 81 or log9(81)?

Log9(81)

= 2

Formula How to
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Logarithm

How to find what is Log Base 9 of 81? 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 81 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(81) =
    loge(81)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    4.3944491546724/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    2

log9(81) or Log Base 9 of 81 is equal to 2.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(81) 4.3944491546724
log10(81) 1.9084850188786

logb(x) Equal to
log9(76) 1.9710016831946
log9(77) 1.9769510439028
log9(78) 1.9828236365221
log9(79) 1.9886214170079
log9(80) 1.9943462675019
log9(81) 2
log9(82) 2.0055843597957
log9(83) 2.011101028714
log9(84) 2.0165516281522
log9(85) 2.0219377219402
log9(86) 2.0272608190346
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