First, let me explain my situation so you can understand what I need first (if you want get to the point you can skip this part and see what I need help with). I am homeschooled. Today was the last day of school. Not only am I homeschooled, which in homestudies you are required to finish a book, but I'm also taking A-G (college prep) and my teacher is not very.... well he does not really cut me very much slack where it is needed. Which brings up my dilemma. I was going to spread out algebra 2 over 3 semesters, 1 year and half. But it looks like next year I do not have to take Algebra 2 (keep going) if I take another math course (I am taking art based Geometry, no functions, equations or mumbo jumbo that I know of - it is actually relevant to what I actually want to do with my life -> art) BUT I am 2 chapters behind and if I do not complete the 2 chapters over the summer I will get an incomplete, meaning an F and I won't get any credits, meaning this past year would have been a waste. So I am going to try to get at least a C or a D in math, by trying to complete chapter 8 and 9. What I have been doing to move more quickly is I have been reading the sections, learning the material, then doing the chapter test (50 questions about) which I have to get 100% on to pass (if I get 1 wrong I have to work it out and re-do the problem until I get it right) Here is the problem though I am on chapter 8 and I am totally stuck. I do not get anything. I even tried paying my older brother whom is a big brainiac to do it for me (heh I know I'm bad) but he couldn't even figure it out... I tried going to every math help site imaginable and read through their explanations on the subject and I still did not understand. Plus most of the things I did learn would not help me with the problems in the Chapter Test. By now you are probably saying "Get to the friggen point already!" (I know I should not have posted this much - but it might help you understand a little more what I need and why) Ok I will.
What I need help on is Exponential and Logerithmic Functions in Algebra 2. I am going to give an example of 1 problem from each little category in the chapter test and I need someone to PLEASE explain to me how I am supposed to tackle the problem (step by step), so it will help me with the rest of the problems.
Evaluate each function to the nearest hundreth for x= 0,1,2,3,4,5. Graph each function.
One of the problems is: y=3(0.25)^x
Write an exponential function of the form y=ab^x that has a graph through the given points.
One problem is: (-2, 2/25), (1, 10)
Describe how the graph of each function is related to the graph of its parent function.
One problem is: y=3^x+2
Graph Each Logarithmic function.
One problem is y= log9x
Use the properties of logarithms to rewrite each logarithmic expresson.
One problem is: log24+3 log29
Use the properties of logarithms to evaluate each expresson.
One problem is log327 - log39
Solve Each Expresson.
log 4x = 3
Use the Change of Base Formula to rewrite each expresson using common logarithms.
Use the properties of logarithms to simpliphy each equation and solve it. Round to thousandths.
In 2 + In x = 1
If someone could explain to me how to do these problems so I can use those instructions to help me figure out the rest. It would also be great if I could post what I get so someone could tell me if they are right or not - like I said I need to get 100% in order to be done.