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 )
2 bicyclist riding on a circular track start at the same time. one can make it around the track in 8 min. the other takes 10 min. how long will it take the faster bicyclist to catc
9.6+5.2=
in a cloths shop reduces it prices by 20% how much is it on sale
the product of two equal negative numbers is 4/25. what are they
f(-4)=-2-4=3
Harold’s movie theater increased the price of admission 20%. Tickets had sold for $7.00. What is the current ticket price? Percent of Decrease: 3. Original Price: $45
Determine which system below will produce infinitely many solutions. 2x + 5y = 24 2x + 5y = 42 3x - 2y = 15 6x + 5y = 11 4x - 3y = 9 -8x + 6y = -18 5x - 3y = 16 -2x + 3y =
Find a three-digit positive integers such that the sum of all three digit is 14, the tens digit is two more than ones and if the digit is reversed, the number is unchanged.
A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must
I don''t understand anything!
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