Logarithms

The value of log 16 base 4 is equal to 2, that is, log416 = 2. The logarithm of 16 to the base is expressed as log416, and its formula is given by $\boxed{{\displaystyle {\log }_{4}16=2}}$. From the definition, we know that x = logab if and only if ax=b. Therefore, if the x is … Read more

The value of natural log of e is equal to 1. The natural log of e is denoted by ln(e), and it is equal to logee. The formula of natural log of e is given by ln(e) =1. Value of Natural log of e Question: What is natural log of e? Answer: The natural log … Read more

The value of log 81 base 3 is equal to 4. As log 81 base 3 is written as log381, we have that log381 =4. In this post, we will learn how to find the logarithm of 81 with base 3. The formula of the logarithm of 81 with base 3 is given as follows: … Read more

The value of log 81 with base 27 is equal to 4/3. The logarithm of 81 with base 27 is written as log2781, so the formula of log81 base 17 is given by log2781 = 4/3. Value of log 81 base 27 Answer: The value of log 81 base 27 is equal to 4/3, that … Read more

The value of log 2 with base 8 is equal to 1/3. The logarithm of 2 with base 8 is written as log82, so the formula of log2 base 8 is given by log82 = 1/3. Value of log 2 base 8 Answer: The value of log 2 base 8 is equal to 1/3, that … Read more

The value of log 27 base 3 is equal to 3. Here, we learn to find the logarithm of 27 when the base is 3. The formula of log327 is as follows: log327 = 3. Find log 27 base 3 Answer: The value of log 27 with base 3 is equal to 3, that is, … Read more

The value of log 8 base 2 is equal to 3. Here, we will learn how to find logarithm of 8 with base 2. The formula of log28 is given below: log28 = 3. Value of log 8 base 2 Answer: The value of log 8 with base 2 is equal to 3, that is, … Read more

We always heard about the logarithms log and ln. So it is important to know about their meaning and differences. Note that log represents the common logarithm and ln represents the natural logarithm. In this post, we will learn about them. What is log? The notation log is referred to the short form of the … Read more

In this section, we will solve problems on logarithms. For the definition of a logarithm, please click on this link. At first, we will recall the main formulas of logarithms: Formula 1:  ${\log }_a(MN)={\log }_{a}M+{\log }_{a}N$ Formula 2:  ${\log }_a(M/N)={\log }_{a}M–{\log }_{a}N$ Formula 3:  ${\log }_a{M}^n=n{\log }_{a}M$ Formula 4:  $\log_a M=\log_b M … Read more

From the Introduction to logarithm, we know that the value of a logarithm is meaningless if we do not mention the base. Definition of Common Logarithm  The logarithm with base 10 is called the common logarithm. This is also known as the decimal logarithm. For example,  log105, log107 are the common logarithms of 5 and … Read more