Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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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
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Question 199744: Please help me solve this problem:
1.5e^-1.9x=1
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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
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Question 199944:
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Question 199955: thanks in advance
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Question 199956: 4x = 7
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Question 199958:
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Question 199943:
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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(6691)

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
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Question 200193: This question has really got me stumped. Please help????????
7^x-3=11^x
Thank you so much.
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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?
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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
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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.
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Question 200367: If a^(1/3)+b^(1/3)+c^(1/3)=0, then show that log[(a+b+c)/3]=1/3[loga+logb+logc]
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Question 200471:
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Question 200475:
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Question 200476:
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Question 200476:
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Question 200478:
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Question 200477:
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Question 200473:
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Question 200520: evaluate log(12)782 to three decimal places
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Question 200511: log 5 10 = log 5 30 =
ln20 - ln5 =
2 log 3 = log 5 - log 15
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Question 200511: log 5 10 = log 5 30 =
ln20 - ln5 =
2 log 3 = log 5 - log 15
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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.
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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
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Question 200668: If 2log(x+y)=logx+logy+4log2, then show that x2+y2=14xy

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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(6059)

Question 195741This question is from textbook
: 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
This question is from textbook

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Question 200763: log42(x^2-x)=1
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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(6059)

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(26252)

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(2683)

Question 200989: Express ln [(x^4 sqrt(x+1) / (x + 2)3 ] as the sum and difference of logarithms
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Question 201176This question is from textbook intermediate algebra
: 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)
This question is from textbook intermediate algebra

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Question 201465: PLEASE HELP My question states write the expression as a single logarithm whose coefficient is 1: 31nx-51ny+61nz....could you show me this?
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Question 201464: PLEASE HELP evaluate log(subscript b)(1/b^3)
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Question 201463: Please help evaluate 2^log(subscript 2)(5)
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Question 201484: CAN SOMEONE HELP WITH THIS WORD PROBLEM? Strontium-90 is a waste product from nuclear fission reactors. It's half-life is 28 years and its decay model is A=A(subscript 0)e^-0.024755t. Suppose a nuclear accident occurs and releases 50 grams of strontium-90 into the biosphere. How long will it take for strontium-90 to decay to a level of 20 grams?
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Question 201587: Evaluate: log (subscript 8)(1/16) Thanks.
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Question 201588: Evaluate: log(subscript 4) 32. thanks.
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Question 201586: If the graph of g(x)=log(subscript 2)x where known, explain how translations could be done to obtain the graph of f(x)=log(subscript 2)x+7. PLEASE HELP.
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