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

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

Question 635350: Ten grams of Uranium will decay to 2.5 g in 496,000 years. What is its half-life?

Click here to see answer by lwsshak3(11628)

Question 635452: I am struggling with understanding the problem below. It has been nearly 50 years since I did anything with log functions and I guess I don't have it anymore. Anyways here is the equation I need solved -
X= 10*(sqrt(n/k))*(0.5+0.5*log(b))
Assume n=30
k=5
b=40
Is there somewhere I can find the log of any number whether it be 40, 75, 100 etc ???
Click here to see answer by Alan3354(69443)

Question 635458: The population of Nigeria at the beginning of 2008 was about
140 million and growing exponentially at a rate of about 2.4% per year.

1. What function P(t) will give the population of Nigeria in millions in
year 2008 + t, assuming that the growth rate stays at 2.4% per year?
Click here to see answer by Alan3354(69443)

Question 635555: polynomials by degree and number of terms

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Question 635604: Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit.
a. at what price will the demand (q) equal 4000 units?
(I keep getting a negative 8.90 Which i am sure is not correct because it is not suppose to be a negative)
Click here to see answer by Alan3354(69443)

Question 635620: "The population of a certain city was 30,000 in 1980 and 40,500 in 1990. If the formula y=Po(e^ht) applies to the growth citys population, what is the population projected to be in the year 2010?"
not sure how to set up the information for the equation
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Question 635781: what is the graph of 1/5(3)^x

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Question 635844: I'm supposed to express x^3/5 in simplest radical form but can't figure it out
Click here to see answer by Edwin McCravy(20059)

Question 636349: if a cubic polynomial has roots -5 and 6-2i, what is its third root?
I can not figure this out
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Question 636350: if 1 and -6 are two of the roots of 6x^4+31x^3-33x^2-16x+12, then what are the other two?
having a hard time with these
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Question 636348: what is the lowest-degree polynomial with integer coefficients and the roots 6, i, and -i?
a. x^3+6x^2-x-6
b. x^3-6x^2-x+6
c. x^3-6x^2+x-6
d. x^3+6x^2+x+6
I think its d?
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Question 636344: what is the result of (x^5-x^3+2x-9+5)/(x+2)
I just cant figure this out
Click here to see answer by math-vortex(648)

Question 636343: which are upper and lower bounds for the real roots of 3x^4-2x^3+x-9=0?
a. 0 and 3
b. -2 and -1, 1, and 2
c. -3 and -1, 1, and 3
d. -2 and 2
please help me figure out the steps for this, ty
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Question 636391: log(x-15)=2
Click here to see answer by stanbon(75887)

Question 23628: how would you solve this problem?

Click here to see answer by butterbean0315(7)

Question 636490: Solve 25^(n+1)+100=5^(2n-1)
Click here to see answer by jsmallt9(3758)

Question 637160: log 12x^2 - log 3x = 3
Click here to see answer by ewatrrr(24785)

Question 637461: How do you solve this equation
4-|1-2|
Click here to see answer by DrBeeee(684)

Question 637782: 1)solve the equation for x: log sub 4 x- log sub 4 (2) = 2
Click here to see answer by lwsshak3(11628)

Question 638021: Thank you for your help!
2. $2,350 is invested in account paying 9% compounded semiannually. How much will the account be worth after 8 years? Show your work.

3. Change each exponential form to an equivalent logarithmic form:
a. 32 = 25
b. = 25�3/2
c. 12 = 1441/2

4. Change each logarithmic form to an equivalent exponential form:
a. log 3 81 = 4
b. log 10 0.0001 = �4
c.

Click here to see answer by lwsshak3(11628)

Question 637986: solve for x: log((x^2)-1) = 2+log(x+1)
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Question 638143: 1/3log(x)-log10000=4
Click here to see answer by DrBeeee(684)

Question 639865: Solve + � = 2
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Question 639939: Solve the exponential equation. 6^x-48*6^-x=2. What is the exact solution. What is the decimal approximation for the solution. Show all work.
Click here to see answer by Alan3354(69443)

Question 641043: I am having a hard time on the review of logarithms. The problem I am stuck on is logbase2 4^(3x-1) and I am suppose to simplify. I know I can rewrite the equation to (3x-1)logbase2 of 4, but then I am not sure where to go.
Click here to see answer by Alan3354(69443)

Question 639940: Solve the following logarithmic equation. log(base 2)x+16+log(base 2)x+10=4. Show all work.
Click here to see answer by lwsshak3(11628)

Question 641816: I am really confused on this problem:
log subscript3 U+ 5Log subscript3 V
Thank you so much for your help!
Click here to see answer by Alan3354(69443)

Question 643494: I have to simplify this and im not sure if i am doing it correctly..
log 3 - log 8
Thank you!
Click here to see answer by Alan3354(69443)

Question 642455: How do you solve and check: 8^(2x+3)=4*2^(x+1)
Click here to see answer by lwsshak3(11628)

Question 643242: Trying to figure out the answer to: (x-2)^1/3=2
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Question 642809: 2 raise to the fifth power times 2 raise to the third power = 2 raise to the __ power
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Question 641681: (x-3)^2-6=0 ???
solve each equation by using the square root property. write all radicals in simplest form. thanks so much for your help!!!
Click here to see answer by lwsshak3(11628)

Question 638603: Solve 3^x^+4 = 7^x^-1
Click here to see answer by lwsshak3(11628)

Question 644237: 3x-7y=8; x=-2 not sure how to answer this
Click here to see answer by Alan3354(69443)

Question 644781: solve the solution set for x:
3^(2x+1) - 5*2^(2x+1) = 6^x
Click here to see answer by Edwin McCravy(20059)

Question 645069: 5x-(2x-5)=40
Click here to see answer by jim_thompson5910(35256)

Question 645596: I need to solve for x. 450=150*2^(x/12)
Click here to see answer by Alan3354(69443)

Question 647473: Solve for x.
ln x / ln 5 = 3
Click here to see answer by swincher4391(1107)

Question 647479: Solve for x
log(xy) + log(x2y5) = 21
Click here to see answer by swincher4391(1107)

Question 647427: There are 136 coins in the cash box. There are an equal number of silver dollars and quarters. There are half as many dimes as quarters and one third as many nickels. How much is in the cash box?
Click here to see answer by ankor@dixie-net.com(22740)

Question 647622: a^-2 . b^-3
Click here to see answer by jim_thompson5910(35256)

Question 647828: A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels in the
machine. The face value of the coins is $4.40. How many of each coin are in the machine.
Click here to see answer by checkley79(3341)

Question 648068: I need help in math BIG TIME!!!
Click here to see answer by lynnlo(4176)

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