Log Base 60 of 8

What is Log Base 60 of 8 or log60(8)?

Log60(8)

= 0.50788142279634

Formula How to
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Logarithm

How to find what is Log Base 60 of 8? 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 60 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log60(8) =
    loge(8)/loge(60)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/4.0943445622221
  3. After simplify the fraction, you will get the result. Which is,
    0.50788142279634

log60(8) or Log Base 60 of 8 is equal to 0.50788142279634.

loge(60) 4.0943445622221
log10(60) 1.7781512503836

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log60(3) 0.26832433664837
log60(4) 0.33858761519756
log60(5) 0.39308804815407
log60(6) 0.43761814424715
log60(7) 0.47526780403631
log60(8) 0.50788142279634
log60(9) 0.53664867329674
log60(10) 0.56238185575285
log60(11) 0.58566035084672
log60(12) 0.60691195184593
log60(13) 0.62646152967387
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