# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 199691: 1. 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. I don't get this at all could you please help Click here to see answer by solver91311(16897)

 Question 199745: if n is a natural number such that n=p1 power a1 *p2 power a2*p3 power a3..............*pk power ak and pk are distinct primes , then show that log n>=k log2 Click here to see answer by RAY100(1637)

 Question 199966: 5. The level of thorium in a sample decreases by a factor of one-half every 2 million years. A meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite? I dont get these problems can anyone help? Click here to see answer by ankor@dixie-net.com(15656)

 Question 199819: if x=log to the base 2a,a ,y=log to the base 3a,2a ,z=log to the base 4a,3a ,prove that x*y*z+1=2*y*z Click here to see answer by RAY100(1637)

 Question 200183: 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? Click here to see answer by ankor@dixie-net.com(15656)

 Question 200347: I need to plot the following function and show the graph i got all but this last one and I am at a loss as to how to do this one: 4. f(x) = log5x Click here to see answer by solver91311(16897)

 Question 200353: i need some help with this problem:For the exponential function ex and logarithmic function log x, graphically show the effect if x is halved. Include a table of values for all four functions any help would be appriciated. Click here to see answer by solver91311(16897)

 Question 200511: log 5 10 = log 5 30 = ln20 - ln5 = 2 log 3 = log 5 - log 15 Click here to see answer by Alan3354(30993)
 Question 200511: log 5 10 = log 5 30 = ln20 - ln5 = 2 log 3 = log 5 - log 15 Click here to see answer by solver91311(16897)

 Question 200498: Explain how to determine log4 76 (that's log base of 4 of 76) using Property 10.9 in Part 16, and also without using that property. Click here to see answer by Alan3354(30993)
 Question 200498: Explain how to determine log4 76 (that's log base of 4 of 76) using Property 10.9 in Part 16, and also without using that property. Click here to see answer by solver91311(16897)

 Question 200574: Can you help me with this one? -Plot the graphs of the following function. Are you able to show me the graph for this one? f(x) = log5x Click here to see answer by solver91311(16897)

 Question 200663: Hi all, I am struggling with a problem I have at the moment. I need to use log laws to write logx+4 (x+1) as a single logarithm. Can someone please show me how with full working and steps? Thnaks, -Nick. Click here to see answer by Alan3354(30993)

 Question 195741: Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 4x y = log4x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response. 1. f(x) = 5x 2. f(x) = 4x+2 3. f(x) = (1/3)x 4. f(x) = log5x Click here to see answer by Alan3354(30993)

 Question 200789: I am having trouble with this question could anyone help?Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Rank in order from fastest to slowest the rate at which each function changes with increasing values of x. 1. f(x) = 2x – 5 2. f(x) = x2 - 4x + 3 3. f(x) = x3 + 4x2 - 2x - 3 4. f(x) = 7x 5. f(x) = log x Click here to see answer by Alan3354(30993)

 Question 200797: Hello, Could someone please help me simplify these logarithms/ 1. (log(subscript2)(5))+(log(subscript 2)(x^2-1))-(log(subscript 2)(x-1) This is what I have so far: (log(subscript 2)(5)(x^2-1))/(x-1) 2. 3^(2log(subscript 3)(5)) Thank you so much for Your time! Click here to see answer by stanbon(57361)

 Question 200875: Hello, I need some help with factoring. I have a couple of problems that are giving me a hard time. 1. Factor completely: x^5y^3 - 3x^4y^2 - 28x^3y unless I am missing something, I am not finding a GCF for this problem. 2. Factor completely: x^3 - 2x^2 + 6x - 12 Any help will be appreciated. Thanks in advance. Click here to see answer by rfer(12662)

 Question 200989: Express ln [(x^4 sqrt(x+1) / (x + 2)3 ] as the sum and difference of logarithms Click here to see answer by stanbon(57361)

 Question 201176: Pg 560 62. Express as a single logarithm with a coefficient of 1. (The "b"s are tiny and below "log") 2 logbx-3(logby+logbz) Click here to see answer by RAY100(1637)
 Question 201176: Pg 560 62. Express as a single logarithm with a coefficient of 1. (The "b"s are tiny and below "log") 2 logbx-3(logby+logbz) Click here to see answer by jim_thompson5910(28595)