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 604917: e^x x e^3x=4 Can you help me figure this out? My math teacher didn't explain it fully. Thanks for your help! Click here to see answer by jim_thompson5910(28699)

 Question 605449: The natural logarithm function write in exponential form ln 1/e^2= -2 the example I have been trying to use is log base b a=n is rewritten as b^n=a I can't tell in this problem if the e that is squared is the one that is the base. if not then substituting I would get e^-2= 1/e^2 is this the answer or can I do more to it? Thank you Click here to see answer by lwsshak3(6751)

 Question 605563: Ok so the question is, "Solve the following logarithmic equation." the brackets [] = the base or b log[5](x+3) = 4 - log[5](x+123) log[5](x+3)(x+123) = 4 product rule above exponential form below 5^4 = (x+3)(x+123) 625 = x^2 + 126x + 369 0 = x^2 + 126x - 256 I am stuck here and could use help getting the zeroes. Click here to see answer by solver91311(17070)

 Question 605684: Write the following expression as a sum and/or difference of logarithms log((cube root x^2+1)/(x^2-1)) Click here to see answer by lawdej(58)

 Question 606063: I know this shouldn't be hard, we are doing a study sheet for a test and can't get past the second problem. simplify each logarithm (a calculator should not be needed) log base (1/3) 9 so this is 1/3^x equals 9 if I use the change of base formula I get -.5 or 1/2 but when I try to work 1/3^(1/2) I don't get 9 what am I doing wrong, and I can't use a calculator anyway so how do I do this without the change of base formula? thank you Click here to see answer by jim_thompson5910(28699)

 Question 606080: simplify this one is hard to write but it looks like 4^log base4 x i think you take the 4(the 4 that is in front) and put it above the x. then it would be log base 4 x^4 do you put the 4 equal to the x or the way I did it above? Thank you Click here to see answer by stanbon(57953)

 Question 606102: use a calculator to find x log x= -3.345 10^-3.345=x -.524396 is this right? Thank you Click here to see answer by stanbon(57953)

 Question 606700: ln(3)-2(ln(4)+ln8) Can you show me HOW to do this? Click here to see answer by ewatrrr(10682)
 Question 606700: ln(3)-2(ln(4)+ln8) Can you show me HOW to do this? Click here to see answer by lawdej(58)

 Question 606738: Factor completely. 80c^2+200cd+125d^2= I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated. Thanks Click here to see answer by Alan3354(31505)
 Question 606738: Factor completely. 80c^2+200cd+125d^2= I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated. Thanks Click here to see answer by richwmiller(9144)

 Question 607167: Please help with this! I need to solve this: -2x + 19y + 8z = 27 x-3y -2z = 5 2x-9y-5z = -35 Thank you so much. Click here to see answer by jim_thompson5910(28699)

 Question 607176: Help!Is this a problem with no solution? x + y + 2z = 7 2x + 2y + 4z = -6 x+y+2z = 1 Thanks so much! Click here to see answer by jim_thompson5910(28699)
 Question 607176: Help!Is this a problem with no solution? x + y + 2z = 7 2x + 2y + 4z = -6 x+y+2z = 1 Thanks so much! Click here to see answer by solver91311(17070)

 Question 607380: The half-life of a certain radioactive material is 67 days. An initial amount of the material has a mass of 25 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 27 days. Round your answer to the nearest thousandth. Click here to see answer by ewatrrr(10682)

 Question 607367: THe topic might be a little off. my workbook says " Rational functions and their graphs". Can you help me solve this question? y=x+6 over x+4( i didnt know how to draw the division line). Click here to see answer by ewatrrr(10682)

 Question 607399: Write a rule that could be used for the following table: Points, (0,4) (1,10) (2,25) Click here to see answer by lynnlo(4169)