Log Base 89 of 5

What is Log Base 89 of 5 or log89(5)?

Log89(5)

= 0.35855831924522

Formula How to
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Logarithm

How to find what is Log Base 89 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 89 of 5 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log89(5) =
    loge(5)/loge(89)
  2. Calculate the log value for numerator and denominator part.
    1.6094379124341/4.4886363697321
  3. After simplify the fraction, you will get the result. Which is,
    0.35855831924522

log89(5) or Log Base 89 of 5 is equal to 0.35855831924522.

loge(89) 4.4886363697321
log10(89) 1.9493900066449

loge(5) 1.6094379124341
log10(5) 0.69897000433602

logb(x) Equal to
log89(1) 0
log89(2) 0.15442266280111
log89(3) 0.24475412980127
log89(4) 0.30884532560222
log89(5) 0.35855831924522
log89(6) 0.39917679260238
log89(7) 0.43351922249194
log89(8) 0.46326798840333
log89(9) 0.48950825960253
log89(10) 0.51298098204633
Calculations