Log Base 9 of 130

What is Log Base 9 of 130 or log9(130)?


Log9(130)

= 2.2153103968811

Formula How to

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How to find what is Log Base 9 of 130? 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 130 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(130) =
    loge(130)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    4.8675344504556/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    2.2153103968811

log9(130) or Log Base 9 of 130 is equal to 2.2153103968811.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(130) 4.8675344504556
log10(130) 2.1139433523068

logb(x) Equal to
log9(125) 2.1974602810769
log9(126) 2.2010867513664
log9(127) 2.2046845536069
log9(128) 2.2082541375001
log9(129) 2.2117959422488
log9(130) 2.2153103968811
log9(131) 2.2187979205619
log9(132) 2.2222589228935
log9(133) 2.2256938042039
log9(134) 2.2291029558247
log9(135) 2.232486760359