# Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 127412: Ln(x)=2Ln(x)-Ln(y)+Ln(c) Answer is given as y=cx Directions are to solve for y. Problems that are not given in numbers always give me trouble. Click here to see answer by jim_thompson5910(28715)

 Question 127650: I was absent and my friend got my homework for me. My homework is not from the textbook and I missed the instruction. Would someone please work this problem in easy to follow steps so I can figure out how to complete the rest of my assignment? PLEASE ? 7^(2x+3)=5^(x-4) Click here to see answer by ankor@dixie-net.com(15746)

 Question 127745: Suppose an investment of \$25000 is placed in an account earning 5.5% interest compounded annually. Determine the value of the investment after 10 years. Click here to see answer by JessicaGill(40)

 Question 128256: My teacher want us to expand the following binomials. I did not understand the "easy" way and we do not have enough textbooks at my school to take one home. Please give me as much detail as you can on how to solve this type of problem Thank you, Click here to see answer by solver91311(17077)
 Question 128256: My teacher want us to expand the following binomials. I did not understand the "easy" way and we do not have enough textbooks at my school to take one home. Please give me as much detail as you can on how to solve this type of problem Thank you, Click here to see answer by checkley71(8403)

 Question 128266: what would the graph look like for... y=4(2)^x Click here to see answer by stanbon(57967)

 Question 129051: If there is anyone who knows how to do this I would appreciate it if you can help me. This is due tommorrow and I am not sure where to even begin!! Here is a question I really am lost on! I don't know what to do and am just confusing myself more. Can someone Please HelP??? In the early 1990's Iomega came out with a portable disk storage device that was capable of storing 100mb of data. There was a huge market and absolutely no competitors. For several months Iomega experienced exponential growth. If we modeled that growth using the exponential equation Growth=.05e^t where t is the number of months, then the company would double its value in 3.7 months. Unfortunately for Iomega and their shareholders, they did not realize that such growth would not continue for long. In fact, competitors began releasing their products very quickly and Iomega began experiencing logistic growth rather than exponential growth. In fact, their growth would be better modeled by the equation G=100/1+1000e^-t . This is still a nice growth, but it says that they would eventually maximize their growth at 100 times their initial size. The two groth functions intersect. That is, at some number of months .05t=G = 100/1+1000e^-t. After this time, their growth would be slower than the exponential model would predict, and eventually they would level out at a very nearly no growth. A. Your job is to find that point where the two functions intersect. You will need to use the natural log and simple algebra to solve this equation. B. How many times larger than their initial value would they be at this point? HELP!!!!!!!!! Click here to see answer by bucky(2189)

 Question 129339: Using matrix calculations, solve the following problem. Show Your Work. A total of \$50,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is \$3,700. Twice as much money is invested at 6% as invested at 10%. How much is invested in each of the funds. set up the 3 linear equations in 3 variables put the coefficients into a matrix solve the matrix using any method you like provide the solutions for x, y, and z. I have two equations already which are: .06x+.08y+.10z=3,700 x+y+z=50,000 How and where do I get the last equation? I am not really sure what to do with this problem from here. Can someone please help me. I have been at this all day. Thank you Click here to see answer by stanbon(57967)

 Question 129740: WRITE THE EQUATION IS SIMPLEST FORM 2/ 6 RADICAL 81 i DON'T UNDERSTAND HOW TO FACTOR THE ON BOTTOM AT ALL i REALLY CONFUSED A DESPARTLY NEED A FULL EXPLANTION i HAVE TRY FACTOR 3 RADICAL BUT I DIDN'T REALLY GET WERE GOING i WOULD LOVE HELP BECAUSE DUE TOMMOROW PLEASE HELP ME AND THANK FOR HELP Click here to see answer by edjones(7569)

 Question 129847: Squareroot of 2x-5 + squareroot of 9+x=13 I square both sides and get 2x-5+9+x=169 and solve x=55 but it's wrong. What am I missing? Thanks for your help! Click here to see answer by oscargut(900)

 Question 129927: I need help solving the exponential equation e 2-x=12 Click here to see answer by stanbon(57967)

 Question 129926: I need help with this question At the end of the year 2000, the population of rive town was growing exponentially according the following model. What was the population at the end of the year 2003? Click here to see answer by stanbon(57967)

 Question 129925: I need help with this question If 500 is deposited in an account paying 8.5% annual interest, compounded continuously, how long will it take for the account to increase to \$800? calculate your answere to three decimal places before rounding to two. Click here to see answer by stanbon(57967)

 Question 129944: I need help solving this logarithmic equation log(x-14)-log5=log(x-12)-logx Click here to see answer by jim_thompson5910(28715)

 Question 129924: I need help with solving this logarithmic equation log x+log(x+3)=1 Click here to see answer by jim_thompson5910(28715)

 Question 129923: I need help with solving this logarithmic equation log5(x+1)+log5(x-1)=log5 8 Click here to see answer by jim_thompson5910(28715)

 Question 129942: I need help with this question At the end of the year 2000, the population of rive town was growing exponentially according the following model. What was the population at the end of the year 2003? p=375(1.3t) Click here to see answer by josmiceli(9817)

 Question 129921: I need help solving this exponential equation 5x2-3x=625 Click here to see answer by checkley71(8403)

 Question 129915: I need help with this question A pop growing at an annual rate "r" will triple in a time "t", and is given by the following formula. If the growth rate remains constant and equals 14% per year, how long will it take the population of the time to triple? Click here to see answer by scott8148(6628)

 Question 129918: I need help solving this logarithmic equation log(x-14)-log5=log(x-12)-logx Click here to see answer by scott8148(6628)

 Question 129959: Tutor: Could you PLEASE help me understand the following problem? My algebra 2 teacher wrote the answer on the board and I copied it down in hopes that I could figure it out later, but apparently I can't. Icann Flie loves to hanglide at a nearby beach. When he jumps off the escarpment he dives downward toward the water until the wind catches his hanglider, then he flies upward. Assume that his distance in feet from the water varies quadratically with the time since he started his flight. The escarpment is 105 feet above the water. Five seconds after he jumps he is 30 feet above the water. Five seconds later he is 21 feet above the water. a. Define the variables, write the ordered pairs, and find the particular equation of this function expressing distance above the water in terms of seconds in flight. The teacher put this on the board (sorry if it is out of order...I don't particularly know where everything goes): x=time y=distance above water y=ab^x (0,105) (5,30) (10,21) y=xt^2+xt+105 answer: y=1.32t^2-21.6t+105 I understand where the teacher got the plots, but after that, I don't know what I'm doing. Log doesn't work the way I'm doing it, and I have no clue what to do with it. Click here to see answer by scott8148(6628)

 Question 130631: If the graph of asses through the point (2,9), find f(4) Click here to see answer by jim_thompson5910(28715)

 Question 130639: What is the base b of the function if Click here to see answer by jim_thompson5910(28715)

 Question 130670: One motorcycle costs \$8000 and depreciates in value at 6% per year, while another motorcycle costs \$7000 and depreciates in value at a rate of 4% per year. If both motorcycles are bought at the same time , when (correct to one decimal place)will the value of both be the same?????????? Click here to see answer by mandymae(2)