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

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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)


Question 241: Can you give an example from real life where you would want to use an exponential or logarithmic equation?
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Question 1963: in an attempt to discreadit the persident, a member of the opposite political party wishes to start a scandakous rumor about him. he plans to tell people this rumor one week before the election day and wants the entire population of the united staes (that's 250,000,000 people!) to know the rumor. he needs to figure out how many people he should tell (and they each will tell the same number of people) so that everyone will have heard the rumor by the seventh day.
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Question 1960: Burton High has 1500 Students. During 1st period, a rumor is started when susan tells a secret. each of susans three friends tell three of thier friends during second period , who in turn tell three different friends during third period. assume each person tells the rumor to only three others.
find the number of students who have heard the rumor at the end of the day.( burtin has 6 periods)

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Question 3540: find f(-2)for the function f(x)=6^x
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Question 7561: please help me solve this question 3x^0 divided by y^-3
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Question 7843: Factor each polynomial completely
w^2 - 18w + 81

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Question 7842:
Factor the polynomial completely
6x^3 + 30x^2y^2+36xy^4

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Question 8411: How do you work this problem:
Solve for x in this equation:
(2/3)^x = 9/4

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Question 8469: (8x^-2/3)x^1/6
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Question 8404: If f(x)=3x^2-2 find f^(-1)
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Question 9820: the work has to do with finding function values
if f(x)=3x^2+x-2 and h(x)=7x+3, find each value
1. f(5)
2. h(-4)
3. 2[f(-1)]
4. f(3)-h(2)
5. 4[h(1/2)]
6. f(a)+h(a)
7. Hi-Tech Inc. is a consulting company that charges $750 up front plus475 for each day computer training.
a.write an equation in functional notation that describes the cost of hiring the consulting company for d days of employee training.
b. what would the cost be if you hired the consulting copany for three days of training.
c. another training company, software specialists group, provides computer training for a flat rate of $600 per day. Which company offers the better deal if you need 7 days of employee computer training? how much would the training cost?
this is an Algebra II class
I hope somebody would help me this is due tomorrow thank you
sincerely bruce garcia

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Question 10421: find solution to equation 2^x=50.
i can get 2^x-50 =0
or log2*50=x but really do not know where to go with this.

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Question 10780: I'm trying to solve for x when the equation is 7 to the x power=1 over 49
i think it has something to do with zero exponents.

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Question 10784: what is 0 to the 0 power?
what is y=(3/5)to the x power?
In the roots and fractional exponents,
what is the square root of 81 with a mini 4 on the top left side of the square root?

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Question 10739: use ln key on calculator to express each number as a power. then use the rules of exponents to find the answer.
(0.000612)(576)
________________
0.0512 X 10 -14
the top two numbers multiplied, then divided by bottom decimal number times ten to the negative fourteenth power.
tried:
0.000612 = e to the negative 7.40
576 = e to the 6.36
0.0512 = e to the negative 2.97 times 10 to the negative power of 14
add exponents together -7.40 + 6.36 +2.97 = e to the 1.93 times ten to the 14th.
on calculator, 1.93 inverse ln = 6.89
so answer is e to the 6.89 times 10 to the power of 14.

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Question 9216: (8/3)^4*8^3
(4a^2b^3)^-2(2ab^-1)^3
the last one how can i make (10^2)^3 to 1000^6

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Question 12108: Please help me solve this equation
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Question 12356: im using substitution in algera2 and i cant figure this one out
{4x - y = 22
{ 2x + 3y = 4

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Question 12562: find x if 4.5x =45.
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Question 12558: The question:
An open top box is to be made by cutting a square from each corner of an 11" x 14" sheet of metal and folding up the tabs. The box is to have a volume of 80 cu inches. Apporoximate to the nearest tenth of an inch the size of the square that must be cut out.
I see it as: (14x-2x)(11-2x)(x)=80 cu in. Which results in 4x^3-50x^2+154x=80
I don't understand how to complete this? I am not sure how to deal with the x^3. Can you help?

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Question 12669: how do I simplify the problem:
ln(x+2)+ln3=ln39

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Question 13600: factor u(v-1)-2(v-1)
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Question 13826: how do you solve 2x+2(3-2x)=15
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Question 13826: how do you solve 2x+2(3-2x)=15
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Question 14199: log base(9) 9 exp11 - log base(4) 64
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Question 16241: I am stuck. I'm trying solve the exponential equation
Any help would be appreciated

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Question 16252: I am stuck. I'm trying solve the exponential equation
Any help would be appreciated

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Question 16252: I am stuck. I'm trying solve the exponential equation
Any help would be appreciated

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Question 16572: how do i solve this as a single logarithm
log7 - 1og9

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Question 16664: ok i can not for the life of me figure this answer out. ive tried asking all my friends and family and they cant either! this question is really hard and its going to be on the test tuesday! can you help???
the problem is....
( n is the exponent)

can you help? i'll be forever grateful!
lil miss helpless

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Question 16663: ok i can not for the life of me figure this answer out. ive tried asking all my friends and family and they cant either! this question is really hard and its going to be on the test tuesday! can you help???
the problem is....
( n is the exponent)
4^ (n+3) x 16 ^ n= 8^(3n)
can you help? i'll be forever grateful!
lil miss helpless

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Question 17039: I am stuck on the following problem:

Thank you very much for providing me with your assistance.

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Question 17092: 3n squared + 21n - 24 factor completely how do you do this?
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Question 17410: square root -6 multiplied by square root -2
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Question 17618: find the value of 'x': 2^x=x^2


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Question 18445: explain why funtion y=x square has no inverse,suggest how many inverses can you define for it? sketch all of them
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Question 18867: solve x^3-3x^2-28x=0
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Question 18866: solve x^4-5x^2+6=0
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Question 19224: log10(4*100)

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Question 19252: 2log5+log4
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Question 19362: ok i have done 21 of these and here are the ones i cant get...
Use log9^7=0.8856 and log9^4=0.6309 to evaluate each expression
log9^28
log9^49
log9^144
log9^15.75

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Question 19805:
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Question 20113: i have a logarithmic graph ......... how do i find the equation?
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Question 20189: I am having trouble on my algebra homework and I have a test on this Monday. I would greatly appreciate it if I could have some help. I need help solving this problem:
/ (^4)
Thank you very much

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Question 20161: Hello I am trying to find out if we are doing this problem correctly
5.4+3(8-5)
8-5=3
5.4=20
3.3=9
20+9=29
Please help

Click here to see answer by pwac(251) About Me 

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