Log Base 77 of 9

What is Log Base 77 of 9 or log77(9)?


Log77(9)

= 0.50582942004768

Formula How to

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How to find what is Log Base 77 of 9? 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 77 of 9 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log77(9) =
    loge(9)/loge(77)
  2. Calculate the log value for numerator and denominator part.
    2.1972245773362/4.3438054218537
  3. After simplify the fraction, you will get the result. Which is,
    0.50582942004768

log77(9) or Log Base 77 of 9 is equal to 0.50582942004768.

loge(77) 4.3438054218537
log10(77) 1.8864907251725

loge(9) 2.1972245773362
log10(9) 0.95424250943932

logb(x) Equal to
log77(4) 0.31914283133988
log77(5) 0.37051335318498
log77(6) 0.41248612569378
log77(7) 0.4479735992007
log77(8) 0.47871424700981
log77(9) 0.50582942004768
log77(10) 0.53008476885492
log77(11) 0.5520264007993
log77(12) 0.57205754136372
log77(13) 0.59048440442504
log77(14) 0.60754501487064