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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 139875: These problems are froma a sample final, not a text book.
question #1 - 9^2x = 5^3x-4 solve equation
question #2 - log(base 5)e - use change of base formula
question #3 - log (base 2)(a^2 sqrt b^3)^4 write as summ/differ of log,express powers as factors
question #4 - ln(9-x^2) - find domain
I am studying my sample final...finals coming soon, these 4 problems are giving me trouble...ANY HELP WOULD BE GREATLY APPRECIATED!!!!
exponetial and logaarithmic problems are giving me major pproblems.
Thanks again for all your help!!!
Click here to see answer by stanbon(26259)   |
Question 139820: How to find out value of numbers having fractional powers manually. for example 2^1.2(2 to the power 1.2) and 3^2.6(3 to the power 2.6) etc. Without using logarithms and calculators I want to learn how to find out the value manually. please help me to know this.
Click here to see answer by rapaljer(3620) |
Question 139884: sample final questions:
write as a single logarithm expression: have no clue how to start:
(#1) -2logbase3(1/x)+1/3logbase3(squa rt OF x)
(#2) 2log2-3logx-1/2[log(x+3)log(x-2)]
express as sum & difference of logarithms, express powers as factors:
(#3) ln(x^3sqrtx^2+1 /x-3)
solve each equation:
(#4) log(7x+8)=2logx
THANK YOU AND GOD BLESS....THIS IS HELPING ME STUDY WITH THE CORRECT METHOD AND ANSWER.....I TRULY APPRECIATE ALL YOUR HELP AS ALWAYS!!!!
Click here to see answer by stanbon(26259) |
Question 140096: I don't understand this question.
A computer is infected with the Sasser viruse. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another 5 minutes, etc. How long until 100 million computers are infected?
Click here to see answer by scott8148(3382)  |
Question 140089: Please help me with this. Thanks!
Assume that the number of viruses present in a sample is modeled by the exponential function f(t) = 10^t Where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
Click here to see answer by scott8148(3382) |
Question 140341This question is from textbook College Algebra
: Sue and Tom have a new baby and wish to create a college fund for the child at age 18. How much money is needed to be invested now in an account that draws 10% compounded instantaneously if they want $30,000 when the child enters college? Use A=Pe^rt
I did this. Please help.
30000=Pe(10)(18)
e8.006=e5.192 This question is from textbook College Algebra
Click here to see answer by josmiceli(3003) |
Question 140481: Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3".
a) 16 3/2 = 64
b) ex = 5
B. Convert to exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25".
a) log 3 27 = 3
b) log e 1 = 0
c) log 125 25 = 2/3
Click here to see answer by stanbon(26259) |
Question 140525: Hi there, I've been working on my Algebra homework since I got home from school and I'm having a really hard time with it. I don't really know where to start, and I was hoping you could help me.
 -  / 
thanks so much!
Click here to see answer by scott8148(3382) |
Question 140557: I am trying to figure out the equation for the following:
I put $1000 into a savings account which has a compounded interest of 5% annually. How long will it take to earn approximately $100 in interest?
This is what I came up with, but I don't know if it is correct.
1100=1000(1.05)^r
1.1=(1.05)^r
log(1.1)=log(1.05)^r
log(1.1)=tlog(1.05)
t=log(1.1)/log(1.05)=0.0413926852/0.0211892991=1.95347118395
Is this correct? Would it take approximately 19.5 years to earn $100 in interest?
Click here to see answer by oscargut(682)  |
Question 140610: If I deposited $1000 at a 5% interest rate annually and wanted to know how long it would take to earn $100 dollars of interest and at what amount it was earned, what would the equation be to figure out this problem?
Click here to see answer by edjones(3292)  |
Question 142450This question is from textbook Mathematical Ideas
: I am having problems trying to figure out what variable I have to solve for in these two problems. Could anyone please help me with these? Thank you so much!
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2. Assume the cost of a company picnic is described by the function
P(n) = (1/2)n2 – 10n + 80
Where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic. How many employees and guests in attendance produce a minimum cost? What is the minimum cost for this event?
3. In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. There are currently 45 million cars in a certain country, increasing by 3.2% annually. How many years will it take for this country to have 61 million cars. Round to the nearest year.This question is from textbook Mathematical Ideas
Click here to see answer by stanbon(26259) |
Question 142461: Hello all! Can someone please help me ASAP!
Condense the following...
log3 2x+3 log3 4x ( the 3 next to first log is supposed to be next to it but is a subscript same with 3 after the 2nd log)
ln 72x-2 ln 2y
Solve the following Equations...
9^(x+2)=(1/27)^(x+12)
27^(2x+4)=(1/9)^(x-46)
Click here to see answer by stanbon(26259) |
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