Log Base 120 of 5

What is Log Base 120 of 5 or log120(5)?

Log120(5)

= 0.33617560069124

Formula How to
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Logarithm

How to find what is Log Base 120 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 120 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log120(5) =
    loge(5)/loge(120)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.787491742782
  3. After simplify the fraction, you will get the result. Which is,
    0.33617560069124

log120(5) or Log Base 120 of 5 is equal to 0.33617560069124.

loge(120) 4.787491742782
log10(120) 2.0791812460476

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log120(1) 0
log120(2) 0.14478295061396
log120(3) 0.22947554746689
log120(4) 0.28956590122792
log120(5) 0.33617560069124
log120(6) 0.37425849808084
log120(7) 0.40645712903612
log120(8) 0.43434885184187
log120(9) 0.45895109493377
log120(10) 0.4809585513052
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