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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 150476: An aluminum plate is made according to the following dimensions. The outer radius is 10 inches and the inner radius is 3 inches. Use p = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate (b) If the cost to construct the plate is $7.50 per square inch, what is the construction cost?
Click here to see answer by nerdybill(2446)   |
Question 150660: Hi
Please help me tell the difference between a logarithmic function and a logarithmic equation? I have to come up a a logarithmic function. I wanted to turn my exponential function into the logarithmic function. My expo function is f(x)=6^x. My answer is f=18, is that correct? Please help me with the log function. Thank you in advance.
Click here to see answer by stanbon(26259)  |
Question 151082: I need help with these functions. Please help!
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)=5x-3
f(x)=x^2-3x+2
f(x)=2x^3+7x^2-x-1
f(x)=10^x
f(x)=1n x
Thank you in advance to anyone who can help me. I really appreciate your help and patience.
Click here to see answer by vleith(1977) |
Question 151889: Please help, seems too simple and it feels like a trap???
Q: Which of the following is a logarithmic function? Which an exponential function?
f(x)=x^2
L(t)=1-e^-t
g(q)=q^-2
R(x)=4ln(x)
Thank you for your help
Shelly
Click here to see answer by nabla(412) |
Question 152190: I'm drowning in Logs & Inverses: My question states:
Determine if this is a one-to-one. If yes, find the formula for the inverse.
f(x) = (5x+4)/(7x+6)
I have listed it as a one-to-one and have written the following:
Changed f(x) to "y"
y =(5x+4)/(7x+6)
Then substituted "x" for "y" to get
x = (5y+4)/(7y+6)
My problem is that I don't know how to write the inverse.
Please help.
Click here to see answer by scott8148(3382)  |
Question 152520: Q: e^(2x+5)=40
its pretty simple i think, this is what i've figured out.
ln(e^(2x+5))=ln(40)
2x+5=ln(40)
2x+5 = 3.688
2x = -2.688
x = -1.344
im not sure if thats right, i didnt really pay attention in logs,and e's.
Click here to see answer by Fombitz(2113)  |
Question 152548: HELP! im not sure how to go about solving these 2 simple problems!
1) ln(5x) + ln(9) = ln(6x + 2)
2) 3^(2x +4)= 27^ (x-7)
i really dont just want the answers, i want to understand how to do them, and why they work that way. if someone can please help me to understand this, i'd be very greatful. THANKS
Click here to see answer by Fombitz(2113) |
Question 153055: Suppose that the function P=11+44ln x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002. Carry all calculations to six decimals on each intermediate step when necessary.
a. Use this model to determine the percentage of spam in the year 2006 to the nearest tenth of a percent.
b. Use this model to determine in how many years it will take for the percent of spam to reach 85% provided that law enforcement regarding spammers does not change.
Click here to see answer by stanbon(26259) |
Question 153053: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, left 1 or stretched vertically by a factor of 2 are descriptions.
g(x)=log(x-3)
Description of transformation:
Equations(s) for the Vertical asymptote(s):
x-intercept in (x,y) form:
I need help on this problem
Click here to see answer by stanbon(26259) |
Question 151893: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using calculator.
log (subscript)2 (16/square root of(x-1))
I think it might be 4-1/2log(x-1)? Am I close?
Thank you,
Shelly
Click here to see answer by orca(409) |
Question 153160: Hi
How would I solve the following: Exponent and logarithm as function of power
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain. I got two different answer when I tried to solve this logarithm. Can you please help me.
Answer: False.
If x = 3 it would make f(3)=3 * 3 =9 and g(3)=3
If x = 4 then f(4)=12 and g(4)=4
if x=5 then f(5)=15 and g(5)=5
although f(x) is 3 times greater than g(x) the growth of f(x) is not 3 times faster than g(x) because from 9 the change of f(x) is only 3 and from 12 it only changed by 3 again. wherein it should have incurred a change of 9. If f(x) grows three times faster than g(x) the equation should be f(x)=x raise to the 3rd power and g(x)=x.
Answer is True
The question is on rate of growth, ie slope.
slope of g(x) is 1.
slope of f(x) is 3.
Click here to see answer by stanbon(26259) |
Question 153207This question is from textbook elementary and intermediate algebra
: A) Write the sentence (-x)2 is not equal to -x2 in words. In your own words explain why (-x)2 and -x2 are not equivalent. Provide an example to support your explanation. B) Evaluate (a) 3x0 and (b) (3x)0 when x is not 0. Are the results different? If so, explain in your own words why they are different. If not, then state so.
A student writes down the following as part of her response: a ) 3(to the 2nd power) times 3(to the 3rd power) = 729. and b) 3(to the negative 2nd power) = -9. Are her answers correct? If not, explain why you think her answers are incorrect. Include in your explanation what she did wrong, if any. What would you advise her to do instead?
i hope this makes sense to you...the way i typed it. please let me know if you need additional info. It is the chapter on Laws/Types of Exponents. Thank you thank you thank you
Jennifer
This question is from textbook elementary and intermediate algebra
Click here to see answer by stanbon(26259) |
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