Properties of exponential form, Mathematics

Assignment Help:

Properties

1.   The domain of the logarithm function is (0, ∞ ) .  In other terms, we can just plug positive numbers into a logarithm! We can't plug in zero or a negative number.

2.    logb b = 1

3.    logb 1 = 0

4.    logb bx= x

5.    blogb= x

The final two properties will be especially useful into the next section.  Notice that these last two properties tell us that,

f( x ) = b x              and g( x ) = logb x

are inverses of each of other.

Following are some more properties which are useful in the manipulation of logarithms.

More Properties

6.   logbxy= logb  x + logb  y

7.   logb (x/y)=       logb  x - logb  y

8.   logb( xr) = r logb  x

Note as well that there is no equivalent property to the first two for sums & differences. In other terms,

logb( x + y ) ≠ logb  x + logb  y

logb(x - y ) ≠ logb  x - logb  y


Related Discussions:- Properties of exponential form

.., Ask quesLa proporción de empleados de una empresa que usan su auto para...

Ask quesLa proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya es

Additional rule- rules of probability, Additional Rule- Rules of Probabilit...

Additional Rule- Rules of Probability Additional rule is used to calculate the probability of two or more mutually exclusive events. In such circumstances the probability of t

What is the annual interest rate on an account in which earn, What is the a...

What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In

Ratio, There are only Chinese and Malay pupils in a hall.The ratio of the n...

There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys

What is the distance this car will travel in (3x - 8) hours, A car travels ...

A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2

Triganometry, Ask question #Minimum 100 words what is the hypotunus of a r...

Ask question #Minimum 100 words what is the hypotunus of a right bangled triangle a=5@ b=25 find c accwhepted#

Trignometry, how can i easily solve the trignometry question?

how can i easily solve the trignometry question?

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