Log Base 15 of 6

What is Log Base 15 of 6 or log15(6)?

Log15(6)

= 0.66164189589203

Formula How to
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Logarithm

How to find what is Log Base 15 of 6? 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 15 of 6 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log15(6) =
    loge(6)/loge(15)
  2. Calculate the log value for numerator and denominator part.
    1.7917594692281/2.7080502011022
  3. After simplify the fraction, you will get the result. Which is,
    0.66164189589203

log15(6) or Log Base 15 of 6 is equal to 0.66164189589203.

loge(15) 2.7080502011022
log10(15) 1.1760912590557

loge(6) 1.7917594692281
log10(6) 0.77815125038364

logb(x) Equal to
log15(1) 0
log15(2) 0.25595802480982
log15(3) 0.40568387108221
log15(4) 0.51191604961963
log15(5) 0.59431612891779
log15(6) 0.66164189589203
log15(7) 0.71856502078998
log15(8) 0.76787407442945
log15(9) 0.81136774216443
log15(10) 0.8502741537276
log15(11) 0.88546928407103
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