Log Base 18 of 20

What is Log Base 18 of 20 or log18(20)?


Log18(20)

= 1.036452236765

Formula How to

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How to find what is Log Base 18 of 20? 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 18 of 20 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log18(20) =
    loge(20)/loge(18)
  2. Calculate the log value for numerator and denominator part.
    2.995732273554/2.8903717578962
  3. After simplify the fraction, you will get the result. Which is,
    1.036452236765

log18(20) or Log Base 18 of 20 is equal to 1.036452236765.

loge(18) 2.8903717578962
log10(18) 1.2552725051033

loge(20) 2.995732273554
log10(20) 1.301029995664

logb(x) Equal to
log18(15) 0.93692107034472
log18(16) 0.95924986627253
log18(17) 0.98022454596583
log18(18) 1
log18(19) 1.0187059748015
log18(20) 1.036452236765
log18(21) 1.0533324751068
log18(22) 1.0694272959573
log18(23) 1.0848065503558
log18(24) 1.0995311664203
log18(25) 1.1136546072576