Log Base 140 of 15

What is Log Base 140 of 15 or log140(15)?

Log140(15)

= 0.54800610192113

Formula How to
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Logarithm

How to find what is Log Base 140 of 15? 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 140 of 15 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log140(15) =
    loge(15)/loge(140)
  2. Calculate the log value for numerator and denominator part.
    2.7080502011022/4.9416424226093
  3. After simplify the fraction, you will get the result. Which is,
    0.54800610192113

log140(15) or Log Base 140 of 15 is equal to 0.54800610192113.

loge(140) 4.9416424226093
log10(140) 2.1461280356782

loge(15) 2.7080502011022
log10(15) 1.1760912590557

logb(x) Equal to
log140(10) 0.46595542454855
log140(11) 0.48524257073466
log140(12) 0.50285035566695
log140(13) 0.51904794764717
log140(14) 0.53404457545145
log140(15) 0.54800610192113
log140(16) 0.56106623772583
log140(17) 0.57333434954612
log140(18) 0.58490103303953
log140(19) 0.59584217702496
log140(20) 0.60622198398001
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