Log Base 25 of 5

What is Log Base 25 of 5 or log25(5)?

Log25(5)

= 0.5

Formula How to
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Logarithm

How to find what is Log Base 25 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 25 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log25(5) =
    loge(5)/loge(25)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/3.2188758248682
  3. After simplify the fraction, you will get the result. Which is,
    0.5

logb(x) Equal to
log25(1) 0
log25(2) 0.2153382790367
log25(3) 0.34130309724299
log25(4) 0.43067655807339
log25(5) 0.5
log25(6) 0.55664137627969
log25(7) 0.60453097756108
log25(8) 0.64601483711009
log25(9) 0.68260619448599
log25(10) 0.7153382790367

log25(5) or Log Base 25 of 5 is equal to 0.5.

loge(25) 3.2188758248682
log10(25) 1.397940008672

loge(5) 1.6094379124341
log10(5) 0.69897000433602
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