0
The logarithm of a number is another number which, if used as the exponent of a third number, yields the first number.
The third number is called the base. Usually, it is 10 (common logarithm) or e (2.71828..., natural logarithm).
As an example, the common logarithm of 100 is 2. This meets the equation...
102 = 100
... whereas the natural logarithm of 100 is about 4.61...
2.718284.61 = (about) 100
One useful function of logarithms is in the multiplication of numbers. If you want to multiply two numbers, you can either just multiply them, or you can add their logarithms together and do the inverse logarithm (power) of the result. For instance...
10 * 100 = 1000
log10 10 = 1
log10 100 = 2
1 + 2 = 3
103 = 1000
This technique is used in slide rules, and it can also be used visually, to come up with a rough estimate of the product of two numbers.
Still curious? Ask our experts.
Chat with our AI personalities
Ross
Lao
ReneAdd your answer:
Earn +20 pts
What is the difference in the Natural Logarithmic Function and the Common Logarithmic Function?
Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.
What should you include in a paper about Logarithms?
you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)
What are the misconception in logarithm topic in mathematics?
The main misconception is that logarithms are hard to understand.The main misconception is that logarithms are hard to understand.The main misconception is that logarithms are hard to understand.The main misconception is that logarithms are hard to understand.
Explain why a function at most one y-intercept?
explain why a function has at most one y-intercept
Are logarithms and anti logarithms same?
No, they are opposites, just like multiplication and division are opposites.
