Log Base 12 of 1025

What is Log Base 12 of 1025 or log12(1025)?


Log12(1025)

= 2.7898222624033

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 12 of 1025? 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 12 of 1025 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log12(1025) =
    loge(1025)/loge(12)
  2. Calculate the log value for numerator and denominator part.
    6.9324478915725/2.484906649788
  3. After simplify the fraction, you will get the result. Which is,
    2.7898222624033

log12(1025) or Log Base 12 of 1025 is equal to 2.7898222624033.

loge(12) 2.484906649788
log10(12) 1.0791812460476

loge(1025) 6.9324478915725
log10(1025) 3.0107238653918

logb(x) Equal to
log12(1020) 2.7878543875559
log12(1021) 2.7882487331087
log12(1022) 2.7886426926158
log12(1023) 2.7890362668324
log12(1024) 2.7894294565113
log12(1025) 2.7898222624033
log12(1026) 2.7902146852568
log12(1027) 2.7906067258181
log12(1028) 2.7909983848314
log12(1029) 2.7913896630386
log12(1030) 2.7917805611794