Log Base 123 of 5

What is Log Base 123 of 5 or log123(5)?

Log123(5)

= 0.33445059323991

Formula How to
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Logarithm

How to find what is Log Base 123 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 123 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log123(5) =
    loge(5)/loge(123)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.8121843553724
  3. After simplify the fraction, you will get the result. Which is,
    0.33445059323991

log123(5) or Log Base 123 of 5 is equal to 0.33445059323991.

loge(123) 4.8121843553724
log10(123) 2.0899051114394

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log123(1) 0
log123(2) 0.14404003034217
log123(3) 0.22829804669507
log123(4) 0.28808006068433
log123(5) 0.33445059323991
log123(6) 0.37233807703724
log123(7) 0.40437148815441
log123(8) 0.4321200910265
log123(9) 0.45659609339015
log123(10) 0.47849062358207
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