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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

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

 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 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 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 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 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)