Log Base 9 of 50

What is Log Base 9 of 50 or log9(50)?


Log9(50)

= 1.7804383975037

Formula How to

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How to find what is Log Base 9 of 50? 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 9 of 50 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(50) =
    loge(50)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    3.9120230054281/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    1.7804383975037

log9(50) or Log Base 9 of 50 is equal to 1.7804383975037.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(50) 3.9120230054281
log10(50) 1.698970004336

logb(x) Equal to
log9(45) 1.732486760359
log9(46) 1.7424897918859
log9(47) 1.7522776876899
log9(48) 1.7618595071429
log9(49) 1.7712437491614
log9(50) 1.7804383975037
log9(51) 1.7894509615813
log9(52) 1.7982885133079
log9(53) 1.8069577204372
log9(54) 1.8154648767857
log9(55) 1.823815929681