Log Base 130 of 5

What is Log Base 130 of 5 or log130(5)?

Log130(5)

= 0.33064746203973

Formula How to
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Logarithm

How to find what is Log Base 130 of 5? 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 130 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log130(5) =
    loge(5)/loge(130)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.8675344504556
  3. After simplify the fraction, you will get the result. Which is,
    0.33064746203973

log130(5) or Log Base 130 of 5 is equal to 0.33064746203973.

loge(130) 4.8675344504556
log10(130) 2.1139433523068

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log130(1) 0
log130(2) 0.14240211088697
log130(3) 0.22570200577939
log130(4) 0.28480422177395
log130(5) 0.33064746203973
log130(6) 0.36810411666637
log130(7) 0.39977326690994
log130(8) 0.42720633266092
log130(9) 0.45140401155878
log130(10) 0.47304957292671
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