Log Base 6 of 36

What is Log Base 6 of 36 or log6(36)?

Log6(36)

= 2

Formula How to
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Logarithm

How to find what is Log Base 6 of 36? 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 6 of 36 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log6(36) =
    loge(36)/loge(6)
  2. Calculate the log value for numerator and denominator part.
    3.5835189384561/1.7917594692281
  3. After simplify the fraction, you will get the result. Which is,
    2

log6(36) or Log Base 6 of 36 is equal to 2.

loge(6) 1.7917594692281
log10(6) 0.77815125038364

loge(36) 3.5835189384561
log10(36) 1.5563025007673

logb(x) Equal to
log6(31) 1.9165447502642
log6(32) 1.9342640361727
log6(33) 1.9514380258712
log6(34) 1.9680992818391
log6(35) 1.9842775342056
log6(36) 2
log6(37) 2.015291658651
log6(38) 2.030175490739
log6(39) 2.0446726857305
log6(40) 2.0588028234076
log6(41) 2.0725840328916
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