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 156323: how do I write 5 to the 7th power as a product of the same factor?
Click here to see answer by oscargut(900)

Question 156563: solvethe rational inequality and graph the solution set on a real number line. express the solution set in interval notation.
x-9/x+1 >0
Click here to see answer by Fombitz(13828)

Question 156731: equation y=ca^x
points on graph = (3,50) and (2,1)
Solve for a
Click here to see answer by jim_thompson5910(28696)

Question 156857: 12^(m+5)=17
Click here to see answer by jim_thompson5910(28696)

Question 156857: 12^(m+5)=17
Click here to see answer by Edwin McCravy(8999)

Question 156859: what is the simplest form of (x^-2y^-3)over (x^2y^-1)^3

Click here to see answer by jim_thompson5910(28696)

Question 157471: log10 (x^2 + 36)= log10 100
Click here to see answer by Fombitz(13828)

Question 157472: log2 (4x-10)
Click here to see answer by Fombitz(13828)

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(12569)

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(12569)

Question 158409: can you help with this one? Thanks
W^-4 / W^6
Click here to see answer by edjones(7569)

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(12569)

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(1512)

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(57940)

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(1512)

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(31484)

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(2825)

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(57940)

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(490)

Question 162597: Solve with Long Divison! THANK YOU:)
(3c^5 + 5c^4 + c + 5) / (c+2)
Click here to see answer by josmiceli(9817)

Question 162790: Can some one help me simplify:
a) i^23
b) i^24
Thanks.
Click here to see answer by jim_thompson5910(28696)

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(12569)

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(15745)

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(15745)

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(12569)

Question 163907: what is x? 3^(2x+1)+(28*3^(x))+9=0
Click here to see answer by alicealc(281)

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(8999)

Question 164357: expresss log2 (2x-1)=5 in expotential form
Click here to see answer by Alan3354(31484)

Question 164411: I need help solving the following problem:
(1-x^2)/(1+x^2)^2=0
Click here to see answer by Fombitz(13828)

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(28696)

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(31484)

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(57940)

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