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

How to find value in polynomial?, Example  Find the values of the ...

Example  Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc          =       8.2

find the original number, A two-digit number is seven times the sum of its...

A two-digit number is seven times the sum of its digits.  The number formed by reversing the digits is 18 less than the  original number. Find the original number.

What is congruent angles in parallel lines, What is Congruent Angles in Par...

What is Congruent Angles in Parallel Lines ? Postulate 4.1 (The Parallel Postulate) Through a given point not on a line there is exactly one line parallel to the line. T

I need help, in 2000,nearly 18% of cars in north America were sliver. what ...

in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?

Matrix addition and subtraction, What is Matrix addition and subtraction? I...

What is Matrix addition and subtraction? Illustrate the procedure of Matrix addition and subtraction.

integration: if f(x)+f(x+1/2) =1 find limit 0 to 2, f(x)+f(x+1/2) =1 f(x...

f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1

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