Log Base 15 of 36

What is Log Base 15 of 36 or log15(36)?


Log15(36)

= 1.3232837917841

Formula How to

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How to find what is Log Base 15 of 36? 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 36 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log15(36) =
    loge(36)/loge(15)
  2. Calculate the log value for numerator and denominator part.
    3.5835189384561/2.7080502011022
  3. After simplify the fraction, you will get the result. Which is,
    1.3232837917841

log15(36) or Log Base 15 of 36 is equal to 1.3232837917841.

loge(15) 2.7080502011022
log10(15) 1.1760912590557

loge(36) 3.5835189384561
log10(36) 1.5563025007673

logb(x) Equal to
log15(31) 1.2680663021267
log15(32) 1.2797901240491
log15(33) 1.2911531551532
log15(34) 1.3021769401398
log15(35) 1.3128811497078
log15(36) 1.3232837917841
log15(37) 1.3334013938052
log15(38) 1.3432491606861
log15(39) 1.3528411122654
log15(40) 1.3621902033472
log15(41) 1.3713084289179