Log Base 125 of 5

What is Log Base 125 of 5 or log125(5)?

Log125(5)

= 0.33333333333333

Formula How to
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Logarithm

How to find what is Log Base 125 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 125 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log125(5) =
    loge(5)/loge(125)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.8283137373023
  3. After simplify the fraction, you will get the result. Which is,
    0.33333333333333

logb(x) Equal to
log125(1) 0
log125(2) 0.14355885269113
log125(3) 0.227535398162
log125(4) 0.28711770538226
log125(5) 0.33333333333333
log125(6) 0.37109425085313
log125(7) 0.40302065170739
log125(8) 0.43067655807339
log125(9) 0.45507079632399
log125(10) 0.47689218602446

log125(5) or Log Base 125 of 5 is equal to 0.33333333333333.

loge(125) 4.8283137373023
log10(125) 2.0969100130081

loge(5) 1.6094379124341
log10(5) 0.69897000433602
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