Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Properties of Logarithms
1. logb1 = 0 . It follows from the fact that bo = 1.
2. logb b = 1. It follows from the fact that b 1= b .
3. logb bx = x . it can be generalized out to blog b f ( x ) = f ( x ).
4. b logb x = x . It can be generalized out to b logb f ( x ) = f ( x ) .
Properties 3 and 4 lead to a pleasant relationship among the logarithm & exponential function.
Let's first calculate the following function compositions for f ( x )= b x and g ( x ) = logb x .
( f o g )( x ) = f [g ( x )] = f (logb x ) = b logb x = x
( g o f ) ( x ) = g [f ( x )]= g [b x ] = log b bx = x
Remember again from the section on inverse functions which this means that the exponential & logarithm functions are inverses of each other. It is a nice fact to remember on occasion.
We have to also give the generalized version of Properties 3 & 4 in terms of both the natural and common logarithm
ln e f ( x ) = f ( x) log10 f ( x ) = f ( x)
eln f ( x ) = f ( x ) 10log f ( x ) = f ( x )
write the following function x^2-2x-1 in the form of y=a(x-h)^2+k
Do you accept screen shot because it is a graph.
a 9f2 square painting is mounted with border on a square frame. if the total area of the border is 3.25 ft2, what is the length of a side of the frame?
How do I solve this equation (the left side is a matrix: 0 0 -1 3 x 0 = x^2 2 0 3
5x-y+9, 2x-2y+7, what is the solution?
how do you solve 2x+ax-7>-12
What is the experimental of 80 time and landed on head 60 times
what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3
I have quite a complex formula I need resolved, I can''t get my head around. I have got so far but I personally don''t know how to proceed further. HELP!
a painter charged $320 to paint two walls taht measure 12 feet by 9ft and two walls that measured 10 ft by 9 ft. The client asks him to return to paint two walls that measue 15 ft
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd