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Logarithm' most important question and tricky solution| #logarithm #maths
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Logarithm class 11 | logarithm class 10


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What is the use of logarithm?

Logarithms are the inverse of exponents. A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number?





What are the 7 rules of logarithms?

Logarithm Rules and Properties
Product rule.
Division rule.
Power rule/Exponential Rule.
Change of base rule.
Base switch rule.
Derivative of log.
Integral of log.



What is the basic concept of logarithm?

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n



What is logarithm in real life?

Logarithms are used to know the magnitude of earthquakes. Logarithmic functions are used to measure the pH level of chemicals where pH = log10 [H+]. The exponential growth can be measured using the logarithmic functions. For example, the money growth rate at a given fixed interest rate can be determined


Why is it called a logarithm?

Napier coined the term for logarithm in Middle Latin, "logarithmus," derived from the Greek, literally meaning, "ratio-number," from logos "proportion, ratio, word" + arithmos "number". The common logarithm of a number is the index of that power of ten which equals the number.




Can you take log of 0?

log 0 is undefined. It's not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero, you can only approach it using an infinitely large and negative power.


What is logarithm and its types?

Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number. The power to which the base e (e = 2.718281828.......)



What are the 3 types of logarithms?

The most common types of logarithms are common logarithms, where the base is 10, binary logarithms, where the base is 2, and natural logarithms, where the base is e ≈ 2.71828.


Are logarithms used today?
Logarithms are used for measuring the magnitude of earthquakes. Logarithms are used for measuring the noise levels in dBs (decibels). They are used to measure the pH level of chemicals. Logarithms are used in radioactivity, mainly to detect the half life of a radioactive element.



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