Log Base 81 of 3

What is Log Base 81 of 3 or log81(3)?

Log81(3)

= 0.25

Formula How to
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Logarithm

How to find what is Log Base 81 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 81 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log81(3) =
    loge(3)/loge(81)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/4.3944491546724
  3. After simplify the fraction, you will get the result. Which is,
    0.25

logb(x) Equal to
log81(1) 0
log81(2) 0.15773243839286
log81(3) 0.25
log81(4) 0.31546487678573
log81(5) 0.36624338017948
log81(6) 0.40773243839286
log81(7) 0.44281093729036
log81(8) 0.47319731517859

log81(3) or Log Base 81 of 3 is equal to 0.25.

loge(81) 4.3944491546724
log10(81) 1.9084850188786

loge(3) 1.0986122886681
log10(3) 0.47712125471966
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