Give the definition of logarithms, Mathematics

Assignment Help:

Give the Definition of Logarithms ?

A logarithm to the base a of a number x is the power to which a is raised to get x.

In equation format:

If x = ay, then loga x = y.

Example 1: Convert the logarithmic equation log3 9 = 2 to an exponential equation.
Solution:
log3 9 = 2          32 = 9 By the definition of logarithms.
Example 2: Convert the logarithmic equation log2 16 = 4 to an exponential equation.
Solution:
log2 16 = 4         24 = 16 By the definition of logarithms.
Example 3: Convert the logarithmic equation log5 1/25 = -2 to an exponential equation.
Solution:
log 5 1/25 = -2   5-2 = 1/25 By the definition of logarithms.

 

 


Related Discussions:- Give the definition of logarithms

Application of statistics-economic order quantities (eoq), economic order q...

economic order quantities (EOQ) Statistics may be utilized in ordering or making economic order quantities as EOQ. It is significant for a business manager to understand that

Calculate the probability - contingency table, 1) A survey was done where a...

1) A survey was done where a random sample of people 18 and over were asked if they preferred comedies, dramas, or neither. The information gathered was broken down by age group an

Total linear attenuation, Consider the task of identifying a 1 cm thick bre...

Consider the task of identifying a 1 cm thick breast cancer that is embedded inside a 4.2 cm thick fibroglandular breast as depicted in Fig. The cancerous tumor has a cross

Linear Programming, #question.A manufacturer produces two items, bookcases ...

#question.A manufacturer produces two items, bookcases and library tables. Each item requires processing in each of two departments. Department 1 has 40 hours available and departm

What are various strategies adopted for learning maths, Give some children ...

Give some children around you a task in mathematics. The task should be in an area in which they' have not been given a large dose of algorithms and strategies. Do all of them foll

Right-handed limit, Right-handed limit We say provided we can m...

Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.

Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

Midpoint rule - approximating definite integrals, Midpoint Rule - Approxima...

Midpoint Rule - Approximating Definite Integrals This is the rule which should be somewhat well-known to you. We will divide the interval [a,b] into n subintervals of equal wid

Recognize the importance of famous numbers, Activity This activity will ...

Activity This activity will help you recognize the importance of some very famous numbers, as well as learn more about approximations. Directions Using the Internet, provi

Linear differential equations, A linear differential equation is of differe...

A linear differential equation is of differential equation which can be written in the subsequent form. a n (t) y (n) (t) + a n-1 (t) y (n-1) (t)+..............+ a 1 (t) y'(

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd