Log Base 80 of 12

What is Log Base 80 of 12 or log80(12)?


Log80(12)

= 0.56706790189853

Formula How to

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How to find what is Log Base 80 of 12? 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 80 of 12 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log80(12) =
    loge(12)/loge(80)
  2. Calculate the log value for numerator and denominator part.
    2.484906649788/4.3820266346739
  3. After simplify the fraction, you will get the result. Which is,
    0.56706790189853

log80(12) or Log Base 80 of 12 is equal to 0.56706790189853.

loge(80) 4.3820266346739
log10(80) 1.9030899869919

loge(12) 2.484906649788
log10(12) 1.0791812460476

logb(x) Equal to
log80(7) 0.44406625319386
log80(8) 0.47453877281935
log80(9) 0.50141744003793
log80(10) 0.52546122718065
log80(11) 0.5472114783202
log80(12) 0.56706790189853
log80(13) 0.58533404091288
log80(14) 0.60224584413364
log80(15) 0.61799035625984
log80(16) 0.63271836375913
log80(17) 0.64655320021054