Log Base 8 of 28

What is Log Base 8 of 28 or log8(28)?

Log8(28)

= 1.6024516406859

Formula How to
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Logarithm

How to find what is Log Base 8 of 28? 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 8 of 28 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log8(28) =
    loge(28)/loge(8)
  2. Calculate the log value for numerator and denominator part.
    3.3322045101752/2.0794415416798
  3. After simplify the fraction, you will get the result. Which is,
    1.6024516406859

log8(28) or Log Base 8 of 28 is equal to 1.6024516406859.

loge(8) 2.0794415416798
log10(8) 0.90308998699194

loge(28) 3.3322045101752
log10(28) 1.4471580313422

logb(x) Equal to
log8(23) 1.5078539853523
log8(24) 1.5283208335737
log8(25) 1.5479520632582
log8(26) 1.5668132393804
log8(27) 1.5849625007212
log8(28) 1.6024516406859
log8(29) 1.6193269983759
log8(30) 1.6356301985362
log8(31) 1.651398770129
log8(32) 1.6666666666667
log8(33) 1.6814647064528
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