Log Base 78 of 13

What is Log Base 78 of 13 or log78(13)?


Log78(13)

= 0.58873554774843

Formula How to

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How to find what is Log Base 78 of 13? 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 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log78(13) =
    loge(13)/loge(78)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/4.3567088266896
  3. After simplify the fraction, you will get the result. Which is,
    0.58873554774843

log78(13) or Log Base 78 of 13 is equal to 0.58873554774843.

loge(78) 4.3567088266896
log10(78) 1.8920946026905

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log78(8) 0.47729642360788
log78(9) 0.50433128876454
log78(10) 0.52851479972409
log78(11) 0.55039144643054
log78(12) 0.57036326012086
log78(13) 0.58873554774843
log78(14) 0.60574562923465
log78(15) 0.62158163623707
log78(16) 0.63639523147718
log78(17) 0.65031046525297
log78(18) 0.66343009663384