Log Base 4 of 16

What is Log Base 4 of 16 or log4(16)?

Log4(16)

= 2

Formula How to
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Logarithm

How to find what is Log Base 4 of 16? 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 4 of 16 using the formula above, step by step instructions are given below

  1. Input the value as per formula.
    log4(16) =
    loge(16)/loge(4)
  2. Calculate the log value for numerator and denominator part.
    2.7725887222398/1.3862943611199
  3. After simplify the fraction, you will get the result. Which is,
    2

logb(x) Equal to
log4(11) 1.7297158093186
log4(12) 1.7924812503606
log4(13) 1.8502198590705
log4(14) 1.9036774610288
log4(15) 1.9534452978043
log4(16) 2
log4(17) 2.0437314206252
log4(18) 2.0849625007212
log4(19) 2.1239637567218
log4(20) 2.1609640474437
log4(21) 2.1961587113894

log4(16) or Log Base 4 of 16 is equal to 2.

loge(4) 1.3862943611199
log10(4) 0.60205999132796

loge(16) 2.7725887222398
log10(16) 1.2041199826559
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