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

Consumer behavior, explain big 5 ppersonality model, suggest thier target m...

explain big 5 ppersonality model, suggest thier target market and one marketing strategiy for each .

Finding the equation of a line, Finding the Equation of a line, Given a Slo...

Finding the Equation of a line, Given a Slope and a Point ? Find the equation of a line with slope m = 2, which passes through the point (-1, -3). Solution: Use the po

Decmiels, how do you re name percents to decimal

how do you re name percents to decimal

Circle, #question when equation of tangent T=0 and why

#question when equation of tangent T=0 and why

Developing an understanding of subtraction, DEVELOPING AN UNDERSTANDING O...

DEVELOPING AN UNDERSTANDING OF SUBTRACTION :  The process of subtraction is the reverse of that of addition. Adding more to a collection to make it bigger is just the reverse

How much will she owe the fabulous fence company, Kelly plans to fence in h...

Kelly plans to fence in her yard. The Fabulous Fence Company charges $3.25 per foot of fencing and $15.75 an hour for labor. If Kelly requires 350 feet of fencing and the installer

Inverse sine, Inverse Sine : Let's begin with inverse sine.  Following is ...

Inverse Sine : Let's begin with inverse sine.  Following is the definition of the inverse sine. y = sin -1 x         ⇔     sin y = x                for - ?/2 ≤ y ≤ ?/2 Hen

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

Example of imaginary numbers, Example of Imaginary Numbers: Example 1...

Example of Imaginary Numbers: Example 1: Multiply √-2  and √-32 Solution: (√-2)( √-32) = (√2i)( √32i) =√64 (-1) =8 (-1) =-8 Example 2: Divid

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