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

Determine the distance, Two planes leave the airport at the similar time. M...

Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan

Potency of a drug , An experiment designed to test the potency of a drug on...

An experiment designed to test the potency of a drug on 20 rats. Last animal studies have shown that a 10 mg dose of the drug is lethal 5% of the time within the first 4 hours; of

Find the slope of this line, The following graph shows the growth of the me...

The following graph shows the growth of the median home value in a particular region of the United States starting in 1996.  The graphs starts in 1996 and shows the trend through t

Arc length with vector functions - three dimensional space, Arc Length with...

Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions.  We wish to find out the length of a vector function, r → (t) =

Example of problems related to applying operations, I had just come back fr...

I had just come back from a very interesting talk arranged by a Mathematics Centre, it was aimed at parents of primary school-going children. They had talked about, and demonstrate

Why is the steepness of a curve partially calculate, Can you explain why is...

Can you explain why is the steepness of a curve partially calculated by the units of measurement?

What is the maximum number calories which consume from fats, Josephine is o...

Josephine is on an 1,800 calorie per day diet. She tries to remain her intake of fat to no more than 30% of her overall calories. Based on an 1,800 calorie a day diet, what is the

Multiplication of two like terms with same signs, Case 1: Suppose we...

Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1  ( Therefore, x m . x n = x m +

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