Log Base 9 of 142

What is Log Base 9 of 142 or log9(142)?


Log9(142)

= 2.2554940941037

Formula How to

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How to find what is Log Base 9 of 142? 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 142 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log9(142) =
    loge(142)/loge(9)
  2. Calculate the log value for numerator and denominator part.
    4.9558270576013/2.1972245773362
  3. After simplify the fraction, you will get the result. Which is,
    2.2554940941037

log9(142) or Log Base 9 of 142 is equal to 2.2554940941037.

loge(9) 2.1972245773362
log10(9) 0.95424250943932

loge(142) 4.9558270576013
log10(142) 2.1522883443831

logb(x) Equal to
log9(137) 2.2391798164723
log9(138) 2.2424897918859
log9(139) 2.2457758683516
log9(140) 2.2490383885111
log9(141) 2.2522776876899
log9(142) 2.2554940941037
log9(143) 2.2586879290585
log9(144) 2.2618595071429
log9(145) 2.2650091364143
log9(146) 2.2681371185781
log9(147) 2.2712437491614