Log Base 11 of 27

What is Log Base 11 of 27 or log11(27)?


Log11(27)

= 1.374470729974

Formula How to

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How to find what is Log Base 11 of 27? 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 11 of 27 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log11(27) =
    loge(27)/loge(11)
  2. Calculate the log value for numerator and denominator part.
    3.2958368660043/2.3978952727984
  3. After simplify the fraction, you will get the result. Which is,
    1.374470729974

log11(27) or Log Base 11 of 27 is equal to 1.374470729974.

loge(11) 2.3978952727984
log10(11) 1.0413926851582

loge(27) 3.2958368660043
log10(27) 1.431363764159

logb(x) Equal to
log11(22) 1.2890648263179
log11(23) 1.3076026511658
log11(24) 1.325351388945
log11(25) 1.3423754829425
log11(26) 1.3587317907422
log11(27) 1.374470729974
log11(28) 1.389637215593
log11(29) 1.4042714326122
log11(30) 1.4184094777805
log11(31) 1.4320838960067
log11(32) 1.4453241315894