Log Base 33 of 8

What is Log Base 33 of 8 or log33(8)?

Log33(8)

= 0.59471958951168

Formula How to
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Logarithm

How to find what is Log Base 33 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 33 of 8 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log33(8) =
    loge(8)/loge(33)
  2. Calculate the log value for numerator and denominator part.
    2.0794415416798/3.4965075614665
  3. After simplify the fraction, you will get the result. Which is,
    0.59471958951168

log33(8) or Log Base 33 of 8 is equal to 0.59471958951168.

loge(33) 3.4965075614665
log10(33) 1.5185139398779

loge(8) 2.0794415416798
log10(8) 0.90308998699194

logb(x) Equal to
log33(3) 0.31420274927343
log33(4) 0.39647972634112
log33(5) 0.46029870782235
log33(6) 0.51244261244399
log33(7) 0.5565296556199
log33(8) 0.59471958951168
log33(9) 0.62840549854686
log33(10) 0.65853857099291
log33(11) 0.68579725072657
log33(12) 0.71068247561455
log33(13) 0.7335746633952
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