Log Base 5 of 134

What is Log Base 5 of 134 or log5(134)?


Log5(134)

= 3.043198971586

Formula How to

Share This Calculation:
Reference This Calculation:

How to find what is Log Base 5 of 134? 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 5 of 134 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log5(134) =
    loge(134)/loge(5)
  2. Calculate the log value for numerator and denominator part.
    4.8978397999509/1.6094379124341
  3. After simplify the fraction, you will get the result. Which is,
    3.043198971586

log5(134) or Log Base 5 of 134 is equal to 3.043198971586.

loge(5) 1.6094379124341
log10(5) 0.69897000433602

loge(134) 4.8978397999509
log10(134) 2.1271047983648

logb(x) Equal to
log5(129) 3.019571222236
log5(130) 3.0243691992405
log5(131) 3.0291304097764
log5(132) 3.0338554130377
log5(133) 3.0385447555573
log5(134) 3.043198971586
log5(135) 3.047818583458
log5(136) 3.0524041019428
log5(137) 3.056956026584
log5(138) 3.0614748460258
log5(139) 3.0659610383279