# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 144652: Tutors Simplify log3 64/log3 16 the threes are smaller and placed below the log thank you for your help Click here to see answer by nabla(475)

 Question 144824: Solve for x: e^x = 5 e^e^x = 2 (e to the e to the x) Click here to see answer by jim_thompson5910(28715)

 Question 145032: Express both in terms of x 1. ln(x) = 2 what I thought was x = e^2 but that seemed too simple 2. tan^-1 x = 1 Click here to see answer by jim_thompson5910(28715)

 Question 145094: Could someone please help me on two logarithm word problems? 1)Recall that A = Ao2(-t/h). If the half-life of a substance is 10 years, how much of a 400 - gram sample will remain in 20 years? 2)Recall that A = Ao2 (-t/h). If the half-life of a substance is 4 days, how much of a 320-gram sample will remain in 6 days? Thank you in advance for all the time all of you put into helping people like me. Sincerely, Elle J. Click here to see answer by stanbon(57967)

 Question 145282: Textbook Algebra II Wilkins, Bryant Find each of the following using a calculator. Round to four decimal places. ln 100 log 0.2 Click here to see answer by Alan3354(31528)

 Question 145280: What are the asymptotes of the functions "f(x) = 3x" and "g(x) = log52x"? Click here to see answer by stanbon(57967)

 Question 145279: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. Click here to see answer by stanbon(57967)

 Question 145288: I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate. A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected? Thank you very much! Click here to see answer by stanbon(57967)

 Question 145287: I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate. Suppose that \$2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs? Thank you in advance. Click here to see answer by stanbon(57967)

 Question 145286: I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate. Maya has deposited \$600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double? Can someone please help with this one? Thank you. Click here to see answer by stanbon(57967)

 Question 145308: Please disregard this previous question I submitted. Thank you for your help. I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate. Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing. - f(x) = x3 - 3x2 - 2x + 1 - f(x) = ex - f(x) = 3x - 2 - f(x) = log x - f(x) = x2 - 5x + 6 Click here to see answer by jim_thompson5910(28715)

 Question 145285: Please help... I am totally lost! Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing. f(x) = x3 - 3x2 - 2x + 1 f(x) = ex f(x) = 3x - 2 f(x) = log x f(x) = x2 - 5x + 6 Thank you very much. Click here to see answer by jim_thompson5910(28715)

 Question 145281: Graph one exponential equation and one logarithmic equation. Attach your graphs for our review. Click here to see answer by ankor@dixie-net.com(15746)

 Question 145368: What are the asymptotes of the functions "f(x) = 3x" None ------------------ and "g(x) = log5 2x"? Vertical asymptote: x = 0 For f(x), will the value of y ever = 0 ? Can you prove it? Please help figure this out. I have tried and I can't get it. Click here to see answer by stanbon(57967)

 Question 145365: The percentage of smokers P who, without telephone counseling, have successfully quit smoking for t months can be approximated by P(t)=9.02(0.93)^t. Please help me estimate the percentage of smokers not receiving telephone counseling who are successful in quitting for 1 month, 3 months, and 1 year, then can you please help me graph the functions. I am very confused. Click here to see answer by stanbon(57967)

 Question 145425: 1) write log7 49=2 in exponential form. 2) use the change of base formula( property 10.9) to solve for x; x=log3 90 3) solve for x: 9/(4x)+1/3=5/(2x); (x^-1=4/3) Click here to see answer by stanbon(57967)

 Question 145511: 1)Find the inverse of the function f(x)=8x+16 This is my answer and I am not sure if it is correct. x-16 ------ = y 8 2) write y=x^5 in log form my answer log y=5 x 3) solve the system of linear equation:2x+3y=-5 and y=2x+9 my answer 2x+3(2x+9)=-5 2x+6x+27=-5 8x+27=-5 8x=-32 x=-32/-8 x=-4 y=2(-4)+9 y=-8+9=1 (-4,1) Click here to see answer by stanbon(57967)

 Question 145525: I need help solving this logarithmic equation: log(x-1)+log(x+2)=2 Click here to see answer by jim_thompson5910(28715)
 Question 145525: I need help solving this logarithmic equation: log(x-1)+log(x+2)=2 Click here to see answer by stanbon(57967)

 Question 145701: Please help me Convert to exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25". a) log 3 27 = 3 b) log e 1 = 0 c) log 125 25 = 2/3 Please help me figur this out. Click here to see answer by jim_thompson5910(28715)

 Question 145702: Please help me When interest is compounded continuously, the balance in an account after t years is given by A = Pert, Where P is the initial investment and r is the interest rate. Use the formula given to solve the following: a) Maya has deposited \$600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double? b) Suppose that \$2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs? Please help me figure this problem out. Click here to see answer by stanbon(57967)
 Question 145702: Please help me When interest is compounded continuously, the balance in an account after t years is given by A = Pert, Where P is the initial investment and r is the interest rate. Use the formula given to solve the following: a) Maya has deposited \$600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double? b) Suppose that \$2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs? Please help me figure this problem out. Click here to see answer by jim_thompson5910(28715)

 Question 145706: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = x3 + 3x2 + 2x + 1 Click here to see answer by stanbon(57967)

 Question 145705: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = x2 + 5x + 6 Click here to see answer by nabla(475)

 Question 145704: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = 3x + 2 Click here to see answer by nabla(475)

 Question 145845: 1) Given the formula f(a+h)-f(a)/h (2a^2+4ah+2h^2+4a+4h+5)-(2a^2+4a+5)/h 2) Determine the domain of g(x)=4/x-9, h(x)=6/(x-5)(x-3) The answers I got were All R:x=/-9, R:x=/5,-3 3)Given -2x^2-3x+4=0 Use the quadratic formula to solve for the roots. 4)given h(x)=(3x+2. for x>=0) (5x-1. for x<0) find h(8) and h(-6) Click here to see answer by stanbon(57967)

 Question 145816: Express in terms of sums and differences of logarithms Write in simplest radical form: Click here to see answer by stanbon(57967)
 Question 145816: Express in terms of sums and differences of logarithms Write in simplest radical form: Click here to see answer by Edwin McCravy(8999)

 Question 145853: Please help me to solve this Q Suppose that p and q are positive numbers for which log9 p = log12 q = log16 (p+q). What is the value of q/p? Please note that log9, log12, log16 are log to the base of 9,12 and 16. Thank you Click here to see answer by stanbon(57967)

 Question 145940: Please help me Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = log x Click here to see answer by vleith(2825)

 Question 145939: Please help me Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. f(x) = ex Click here to see answer by Edwin McCravy(8999)

 Question 146177: I don't really understand how they want you to do this? the way the problem is shown, it just doesn't make sense. How do I solve it? Click here to see answer by stanbon(57967)

 Question 146340: I really need help with this question log(12,2)+log(12,18)+log(12,4)=x Click here to see answer by aswathytony(47)