Log Base 15 of 129

What is Log Base 15 of 129 or log15(129)?


Log15(129)

= 1.7945798797909

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 15 of 129? 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 129 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log15(129) =
    loge(129)/loge(15)
  2. Calculate the log value for numerator and denominator part.
    4.8598124043617/2.7080502011022
  3. After simplify the fraction, you will get the result. Which is,
    1.7945798797909

log15(129) or Log Base 15 of 129 is equal to 1.7945798797909.

loge(15) 2.7080502011022
log10(15) 1.1760912590557

loge(129) 4.8598124043617
log10(129) 2.1105897102992

logb(x) Equal to
log15(124) 1.7799823517463
log15(125) 1.7829483867534
log15(126) 1.7858907877642
log15(127) 1.7888099284448
log15(128) 1.7917061736687
log15(129) 1.7945798797909
log15(130) 1.7974313949108
log15(131) 1.8002610591254
log15(132) 1.8030692047729
log15(133) 1.8058561566663
log15(134) 1.8086222323196