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Tutors Answer Your Questions about logarithm (FREE)
Question 155473: I'm trying to identify 5 ordered pairs for the following equation:
f(x)=3^x+7
When I graph the equation, it looks like I'm coming out with:
-3, -4, -5, -6, and -7 as my 'x' coordinates. My 'y' coordinates appear to be -1, 3, 9, etc... Am I doing this right?
Thanks for your help!
Click here to see answer by oscargut(682)   |
Question 155473: I'm trying to identify 5 ordered pairs for the following equation:
f(x)=3^x+7
When I graph the equation, it looks like I'm coming out with:
-3, -4, -5, -6, and -7 as my 'x' coordinates. My 'y' coordinates appear to be -1, 3, 9, etc... Am I doing this right?
Thanks for your help!
Click here to see answer by stanbon(26252)  |
Question 155464: How do i find the nth term for these sequences?
a) log [base 3], log [base 9] 81, log [base27] 81, log [base81]81
b) log[base 5]25, log [base 25]25, log [base 125]25, log [base 625]25
c) log [base m]m^k, log [base m^2]m^k, log [base m^3] m^k, log [base m^4]m^k
Is the nth term for c) log [base m^n]m^k? i'm not sure.
And also, the hard part about this question is that it said to write my expressions in the form p/q. How do I do this?
The exact question is : " Find an expression for the nth term of each sequence. Write your expressions in the form p/q where p, q are integers. Justify your answers using technology."
Thank you guys for your hard work!!
Click here to see answer by Earlsdon(4898) |
Question 155459: Describe how to obtain the third answer in each row from the first two questions?
a) log [base 8]512, log [base 2] 512,log [base 16] 512
b) log [base 4]64, log [base 8]64, log [base 32]64
I don't know how they got the third answer for these two sequences. Can you show the steps on how you got the third answer? This way I can understand. Thank you for all the hard work!! Also, I don't know which ISBN to put because my question isn't from a textbook. Sorry!
Click here to see answer by Earlsdon(4898) |
Question 155514: Expand the following
Log ( (x^2 - 4) / (x - 2)^2 )
I tried to work through it and came to this answer:
2log(x-4)-2log(x-2)
I just want to know if im correct,and if not where i went wrong and what the correct answer is. Thank you!
Click here to see answer by Earlsdon(4898) |
Question 155526: 2log(x) - log(x^2) + log(2/x) + log(x)
I tried to simplify as far as I could and came to:
log2 (x) + log(x)
I just want to know if this is the correct answer? If so, can it be simplified anymore?
Click here to see answer by sim9739(5) |
Question 155503: The hydrogen ion concentration of a dilute solution of an acid is measured to be [H+] = 2.0x10-4. Determine the pH of the solution.
Im not really sure where to start to achieve the correct answer. If someone could show me the steps,and the correct answer,it would be greatly apperciated.
Click here to see answer by scott8148(3382)  |
Question 155589: I'm horribly stuck on this graph question. I need to look at both of the graphs listed below,and for each one sepratly answer all of the following questions:
What can you say about the function graphed here. Explain your reasoning: Is it a log or an exponential? For an exponential, is the exponent x or -x? What is the asymptote (is it x-asymptote or y-asymptote)? Which directions and how many units is it shifted?
I need to answer that question for both of the following graphs:
http://i265.photobucket.com/albums/ii216/pussy_cat_kisses15/Graph%201/les25-19.jpg
And the Second Graph:
http://i265.photobucket.com/albums/ii216/pussy_cat_kisses15/Graph%201/les25-20.jpg
I hope that the links will work. I don't even understand what it is i need to look at to answer the questions. So the correct answers and how to get those answers would be appericiated so much. I dont know what I'd do without all of the genorous help that you tutors offer. Thank you in advance for your time!
Click here to see answer by stanbon(26252) |
Question 155617: After 5 hours an initial bacteria population of 100 members has increased in size to 500 members. Determine the exponential growth rate of the colony of bacteria.
I'm very confused by this word problem. I'd like the correct answer and to be able to learn how to come to that answer. Thank you for all your help!
Click here to see answer by Fombitz(2113)  |
Question 155846: I'm trying to find dy/dx on this question but before i can do that i have to simplify the expression using log laws.
I've taken logs so that log y= 1/3log(x^2-8) + 1/2log(x^3+1) - log(x^6 -7x + 5)
but i am unsure how to simplify it further.
Any assistance would be appreciated.
Click here to see answer by stanbon(26252) |
Question 155846: I'm trying to find dy/dx on this question but before i can do that i have to simplify the expression using log laws.
I've taken logs so that log y= 1/3log(x^2-8) + 1/2log(x^3+1) - log(x^6 -7x + 5)
but i am unsure how to simplify it further.
Any assistance would be appreciated.
Click here to see answer by Edwin McCravy(2920) |
Question 158141: A consumer has placed two orders for a new product from two different suppliers X and Y. The
probabilities that the suppliers deliver the product on time are 0.40 for X and 0.60 for Y. If the
probability of one supplier delivering the product on time has no effect on whether or not the other one
does, find the probability that one or both of the suppliers will deliver the product in the required time.
Click here to see answer by edjones(3291)  |
Question 158134This question is from textbook Organic Chemistry
: This question is actually an example problem (not explained) from a chemistry book, but I cannot remember my log rules.
pKa = - log10 Ka
If Ka = 1.8 * 10^-5 , then we should be able to find the pKa. (The answer is given b/c it's a sample, pKa = 4.7)
Mathematically: x = - log10 (1.8 *10^-5)
I don't understand what to do with the - sign in front of the log, to solve the log, one would say 10^ (1.8 * 10^-5), but then something must happen with the negative sign to give the answer of 4.7...
Also, how do you go backwards (given pKa, solve for Ka).
Same example: 4.7 = -log10 Ka
so, 10 ^ x = 4.7 ?
Then, I am lost.
Thank you.
This question is from textbook Organic Chemistry
Click here to see answer by edjones(3291) |
Question 159007: Suppose that the function P=13+45 ln x.
Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 95% provided that law enforcement regarding spammers does not change.
I have it this far and cannot remember where to go from here. I need help!
95=13+45ln x
-13=-13
82=45ln x / 45=45
1.82=ln x
? ^ 1.82
What is the ? value
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 159204: Seeking assistance.
Describe transformations of the graph of f(x)=e^x. Note horizontal asymptote and y-intercept after the transformation.
a)g(x) = e^x + 3
Graph: vertical shift of 3 units up.
Equation for horizontal asymptote: x = 2.72 + 2, 4.72
y-intercept: (0,3)
b)h(x) = -e^x
Graph: reflection around y axis
Equation: -1e^x = 0, e^x = 1
y-intercept: (1,0)
The above is what has been attempted.
Click here to see answer by jim_thompson5910(13786) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510
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