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!
Exponential and Logarithm Equations : In this section we'll learn solving equations along with exponential functions or logarithms in them. We'll begin with equations which involve exponential functions. The main property that we'll require for these equations is,
logb bx = x
Example Solve following 7 + 15e1-3 z = 10 .
Solution : The primary step is to get the exponential all by itself on one side of the equation along with a coefficient of one.
7 + 15e1-3 z = 10
15e1-3 z = 3
e1-3 z = 1/5
Now, we have to get the z out of the exponent therefore we can solve for it. To do this we will employ the property above. As we have an e in the equation we'll employ the natural logarithm. Firstly we take the logarithm of both sides and then employ the property to simplify the equation.
ln (e1-3 z ) = ln ( 1/5 )
1 - 3z = ln ( 1/5 )
All we have to do now is solve this equation for z.
-3z = -1 + ln ( 1/5 )
z = - 1/3 ( -1 + ln ( 1 /5) ) = 0.8698126372
Now that we've seen a equations where the variable only appears in the exponent we need to see an example along with variables both in the exponent & out of it.
Consider the following set of preference lists: Number of Voters (7) Rank 1 1
You plan to retire when you are 65th years old. You are now 25 years old. You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 6
Belleville lake was originally blue because it only had 11 algae plants. then towns and farms cropped up by the lake .this cause 446 more algae plants to grow which turned the lake
From past experience a machine is termed to be set up correctly on 90 percent of occasions. If the machine is set up correctly then 95 percent of good parts are expected however i
Use the maximum flow algorithm to find a maximum flow and a minimum cut in the given network, where the capacities of arc CF, EC , DE and BD are w = 13, x = 7, y =1, a
how to solve?
Dawn wants to evaluate the volume of a basketball along with the volume of a tennis ball. Which formula will she use? The volume of a sphere is 4/3 times π times the radius cub
Q. How to calculate Percentiles? Ans. In a large group of standardized test scores we expect the scores to approximate a normal curve. If all scores are translated to z-s
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05, what was the average time for one of his earlier splits?
Q. Diffrence between Rational and Irrational Numbers? Ans. A number which is not rational is called irrational. The word "irrational" sounds not quite right...as though th
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd