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 158014: simplify the exponential expression.
x^9y^0
a. 1/x^9
b. 1
c. x^9
d. 0
Click here to see answer by mlhuff12(3)

Question 158012: perform the indicated operations. write the resulting polynomial in standard form.
(-5x^6-13x^5-19) + (3x^6+9x^5+3)
a. -2x^6-4x^5-16
b. -2x^6+14x^5+22
c. -22x^11
d. -2x^6-4x^5+22
Click here to see answer by integral13(8)

Question 158008: find the product
(x-4y)(5x-9y)
a. 5x^2-29xy-29y^2
b. x^2-29xy+36y^2
c. x^2-29xy-29y^2
d. 5x^2-29xy+36y^2
Click here to see answer by checkley77(12844)

Question 158365: (3y^8)^4 / (2zy^2)
I started out with
(3y^32) / (2zy^2)
not sure where to go from here
Click here to see answer by checkley77(12844)

Question 158409: can you help with this one? Thanks
W^-4 / W^6
Click here to see answer by edjones(8007)

Question 158453: Please help
(4 - 5y + y^3) - (2 - 3y + y^2)
Click here to see answer by orca(409)

Question 158456: Can you help with this
(3y^2+1)(3y^2-1)
Click here to see answer by checkley77(12844)

Question 158455: Thank you
-12sq * 3s
Click here to see answer by orca(409)

Question 158979: Good morning, can you help me solve this problem? can you find the value of x?
2^-5 = (1 + 0.23x)^-3
Click here to see answer by jojo14344(1513)

Question 159131: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year recorded. If you were a homebuilder looking for work, would you prefer that the value of a to be between 0 and 1 or larger than 1?
Assistance is requested with the equation ... below is what has been done.
When p > 0, a > 1, t gets larger, as well as y. When 0 < a < 1, then y gets continually smaller. As a homebuilder seeking work, the preference would be to have the value of a to larger than 1 (a > 1) to ensure plenty of work.
H=500 t = 1 p = 5
f(x)/t = p*ln(a)*a^t
y/1 = 5 (1) * 1^1
1^1 = 2.72^1 (1)
(1) (2.72^1)/ 1
(1) 2.72* 1
y = 2.72
Thank you for the assistance.

Click here to see answer by stanbon(75887)

Question 159133: Suppose that the function P = 13 + 14 ln x, represents the perecentage of inbound e-mail in the US. that is considered Spam, where x represents the number of years after 2000.
Use this model to determine in how many years(to two decimal places) it will take for the percentage to reach 95%, provided that law enforcement regarding spammers does not change.
Click here to see answer by gonzo(654)

Question 158431: can you help? Thanks

Click here to see answer by jojo14344(1513)

Question 158402: hi....
can you please help me with this?
what is log (1/4) to the base 2?
Click here to see answer by Alan3354(69443)

Question 159876: what is the difference between the words "exponent" and "power"
Click here to see answer by sophmore(3)

Question 160237: ((a^(3/4))+(a^(3/4)))/(a^(1/2))
Click here to see answer by vleith(2983)

Question 160933: Evaluate the exponential function for the given x value
g(x)=e^x, x=-1.3
Possible solutions
0.27
3.67
-3.67
Click here to see answer by Earlsdon(6294)

Question 161301: PLEASE HELP! THIS PROBLEM IS DUE AT 11 P.M. PST TONIGHT (10-9-08)!!!
Im hoping this is the right forum for this problem.

Find the solution of the exponential equation, correct to four decimal places.
8^(x / 2) = 3^(1 - x)
x =____________

Please help! Thanks guys! I appreciate the help!

Click here to see answer by stanbon(75887)

Question 162079: Title: Roots of Real Numbers
Simplify:
(square root)49m^6
this is what i got so far:
2(square root)49m^6
Click here to see answer by tutor_paul(519)

Question 162597: Solve with Long Divison! THANK YOU:)
(3c^5 + 5c^4 + c + 5) / (c+2)
Click here to see answer by josmiceli(19441)

Question 162790: Can some one help me simplify:
a) i^23
b) i^24
Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 162871: Please answer the folong question for me:
12/(3x-2)+5/(x+4)=1
Thank you.
Click here to see answer by checkley77(12844)

Question 162923: OK so i need to know how one would go about answering .
i've tried going simplified to then i did simplified to but then i'm stuck
Click here to see answer by Anthea Lawn(22)

Question 162939: x^x = 2
Solve for x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 163081: I just wanted to see if this was correct. If not, can you explain?
(3x)^-1/3 simplified is 1/square root of 3
Thanks alot!!!

Click here to see answer by joecbaseball(37)

Question 163082: Is this right?? I tried but I'm not sure.
-x^2y^2/x^1/2y^0 simplied -x^2y^2/x^1/2
If you can help, I'd really appreciate it!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 163263: If 4^x=7, what does 4^-2x equal? Please help
Click here to see answer by Earlsdon(6294)

Question 163182: What is (x+y) raised to the 10th power. Thanks for your help!!
Click here to see answer by orca(409)

Question 163368: suppose one of your ancestors invested $500 in 1800 in an account paying 4% interest compounded annually.Find the account balance in each of the following years.
a.1850 b.1900 c.2000 d.2100
Click here to see answer by checkley77(12844)

Question 163907: what is x? 3^(2x+1)+(28*3^(x))+9=0
Click here to see answer by alicealc(293)

Question 162872: Please help me answer the following:
Simplify:
1) i^23
2) i^24
Thank you.
Click here to see answer by orca(409)

Question 164034: I'm looking for an explicit solution, not an approximation using iteration.
--------------
x^x = 2

Click here to see answer by Edwin McCravy(20059)

Question 164357: expresss log2 (2x-1)=5 in expotential form
Click here to see answer by Alan3354(69443)

Question 164411: I need help solving the following problem:
(1-x^2)/(1+x^2)^2=0
Click here to see answer by Fombitz(32388)

Question 164540: Hi I would like to know if the sum of squares (x^2 +y^2) can be factored? Thank you for your time.
Click here to see answer by jim_thompson5910(35256)

Question 163300: Can anybody explain this to me? My homework said to use the logarithm tables to answer this.
log(subscript 10) square root of 6

Would you start this way:
1/2 log 6 ?????
Thanks!!!
Click here to see answer by Alan3354(69443)

Question 164566: I have no idea how to come at this problem the first thought was to put everything on one side, but from there i was lost. please help

Click here to see answer by stanbon(75887)

Question 164611: Find an equation of variation where y varies jointly as x and z and
inversely as the square of w and y=20 when x=-0.5, z=4, and w=5.
Thanks
Click here to see answer by stanbon(75887)

Question 163298: Is this right? I'm not sure.
Using the table of logarithms find the value of each expression.
cube root of 100 ?
this is what I have
100 ^1/3
1/3 log 100
1/3 log 1 * 10^2
1/3 0 + 2
answer 2 That just doesn't look right. Can anybody help???

Click here to see answer by Alan3354(69443)

Question 165019:
An investment of $25,400 is placed into an account that earns 6.5% interest compounded quarterly. In how many years will the investment be worth twice the original amount?
I am thinking I would use the compound interest formula A = P(l + i)^n
I had set it up like below but I seem I am doing it wrong. Should I have went with 4 or 12? any help appreciated
i = 6.5%/4 = .065/4 = .01625
101600 = 25,400(1 + .01625)^n
101600 = 25400(1.01625)^n
4 = (1.01625)^n
log4 = log(1.01625)^n
log4 = n log 1.01625
log4/log1.01625 = n
86.0017 = n
86.0017/4 = 21.50004
In approx. 21.5 years , the investment will be worth $101,600.
Click here to see answer by jojo14344(1513)

Question 165154: Express as a single logarithm with a coeffiecient of 1:
2*log(x)- 2*log(y)+4*log(z)
Many thanks for helping!
Click here to see answer by gonzo(654)

Question 158415: What is the product of (-4)(-x)(x)-x)
Click here to see answer by Alan3354(69443)

Question 165278:
2^3x+1=13.4
Please let me know if I am wrong, Thanks
log2^3x+1 = log13.4
(3x+1)log2 = log13.4
3x+1 = log13.4/log2
3x+1-1 = 3.7441-1
3x = 2.7441
3x/3 = 2.7441/3
x=.9147
Click here to see answer by padmameesala(42)

Question 165459: how do you do arithmetic and geometric series ?
Example

2 + 10 + 18 + 26 +...;find S10

3 + 15 + 75 + 375 + ...; find S 7

Click here to see answer by stanbon(75887)

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