Log Base 78 of 3

What is Log Base 78 of 3 or log78(3)?

Log78(3)

= 0.25216564438227

Formula How to
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Logarithm

How to find what is Log Base 78 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 78 of 3 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log78(3) =
    loge(3)/loge(78)
  2. Calculate the log value for numerator and denominator part.
    1.0986122886681/4.3567088266896
  3. After simplify the fraction, you will get the result. Which is,
    0.25216564438227

log78(3) or Log Base 78 of 3 is equal to 0.25216564438227.

loge(78) 4.3567088266896
log10(78) 1.8920946026905

loge(3) 1.0986122886681
log10(3) 0.47712125471966

logb(x) Equal to
log78(1) 0
log78(2) 0.15909880786929
log78(3) 0.25216564438227
log78(4) 0.31819761573859
log78(5) 0.3694159918548
log78(6) 0.41126445225157
log78(7) 0.44664682136536
log78(8) 0.47729642360788
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