Log Base 23 of 13

What is Log Base 23 of 13 or log23(13)?


Log23(13)

= 0.81803670516466

Formula How to

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How to find what is Log Base 23 of 13? 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 23 of 13 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log23(13) =
    loge(13)/loge(23)
  2. Calculate the log value for numerator and denominator part.
    2.5649493574615/3.1354942159291
  3. After simplify the fraction, you will get the result. Which is,
    0.81803670516466

log23(13) or Log Base 23 of 13 is equal to 0.81803670516466.

loge(23) 3.1354942159291
log10(23) 1.3617278360176

loge(13) 2.5649493574615
log10(13) 1.1139433523068

logb(x) Equal to
log23(8) 0.66319418837251
log23(9) 0.70075861284442
log23(10) 0.73436113557356
log23(11) 0.76475831485079
log23(12) 0.79250876533722
log23(13) 0.81803670516466
log23(14) 0.84167188579336
log23(15) 0.86367571253826
log23(16) 0.88425891783001
log23(17) 0.90359386716861
log23(18) 0.92182334230193