Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 574650: Ok, so I just want to know the method of finding the base of a logarithm. I am given a picture of a graph; two points of a function, (3,5) and (5,9); and the asymptote: x=2 . I see that there are 6 variables for me to find, and that I am given 5 numbers to "plug" in. I see how the graph points (3,5) and (5,9) fit into the equation y=alog↓b(x-h)+k, but I don't understand how to put the asymptote into the equation or how to find base b. Is there a specific way to find base b of a graph using these?
Click here to see answer by KMST(1868)   |
Question 576749: The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life if carbon-14 is 5700 years.
A.) write a exponential function to model the decay of a 240-my sample.
B.) explain what each value in the function model represents.
C.) to the nearest hundredth, find the amount of carbon-14 remaining after 2353 years. Explain how you found this amount.
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 581664: The question is: log x^3 - 2log 1/x - 1= 0
What I tried:
3log x- (-2log x) - 1= 0
3log x + 2 log x - 1= 0
5 log x- 1 = 0
5 log x = 1
log x = 1/5
x= 10^1/5
or
3log x- (-2log x) - 1= 0
3log x + 2 log x - 1= 0
5 log x- 1 = 0
5 log x = 1
log x^5 = 1
x^1=5
x=5
I'm still confused with this kind of questions. Thanks in advance ^0^!
Click here to see answer by nerdybill(6959)  |
Question 581749: The question is:
log(base x)2 + log(base2)x= -2
What I did:
log(base x)2 + log(base2)x= -2
log(base x)2+ 1/log(base x)2= -2
(log (base x)2)^2 + 1= -2log(base x)2
Take log(base x)2 as a:
a^2 + 1= -2a
a^2 + 2a + 1= 0
(a+1)(a+1)=0
a+1=0
a=-1
log(base x)2= -1
x^-1= 2
x= 1/2
I tried doing this, but I'm not sure if I'm right =)
Thanks in advance!!
Click here to see answer by lwsshak3(6508) |
Question 581754: This is the question:
log(base 5) 125^1/2 + log(base 11) 121^1/3= 13/6
What I tried:
log(base 5) 125^1/2 + log(base 11) 121^1/3 = 13/6
log(base 5) 5*5^1/2+ log (base11) 121^1/3= 13/6
Yup,unfortunately, I'm stuck at here.
Thanks in advance ^0^!!
Click here to see answer by nerdybill(6959) |
Question 582434: Hi, I'm having a lot of trouble with a couple of different questions. I did do the homework on this, but I feel like I did not do an example like this.
A) (25u^2)^5/2
B) b^2/3b^2/3 / -b^1/3
C) Find the perimeter of the trapezoid. This one they gave us a problem like it, but they never made us set it up fully. So I'm not even sure how to set it up.
Sides: 4 square root of 50, 2 square root of 72, 3 square root of 2, & the square root of 50.
Click here to see answer by stanbon(57357) |
Question 585645: Okay so for a car project I have this problem and I need to find out how long it would take for me to pay for the car to pay less than 125% of what it is worth.- A=P(1+r/12)^t. A= amount of money total i paid for the car,P= amount of loan i needed) r= interest rate and t= length of loan(in months)
For my particular case, I have: A= 26641.12, P= 21000, r= .0349 (3.49%), and t= 48. I know I have to use logarithms to get T down to find the time, but I'm stuck
Click here to see answer by ankor@dixie-net.com(15652) |
Question 586189: 4e^x+2=32
ln(5x-3)^1/3=2
2x^(3x-2)+4=16
2e^(x-2)=e^x+7
1/3lnx+ln2-ln3=3
ln(x+2)-ln4=3
Hello. Thank you for your time. I have a test and Im practicing on these problems, but I keep getting something wrong. Can you work them out please? Thank you sooo much!!! =)
Click here to see answer by ankor@dixie-net.com(15652) |
Question 587053: I would like to know how to figure out if a function is NEITHER exponential growth or decay! For example, is the following function neither!?: (please explain why or why not)
y=3*((e^-1)^x)-8
Thanks in advance! :-)
Click here to see answer by stanbon(57357) |
Question 587461: the population of India is 1.17 billion people and is expected to double in 44 years. the population of CHina is 1.34 billion people and is expected to double in 67 years. if the trends continue, when will the population of inda be the same as China's? round your answer to the nearest tenth of the year.
Click here to see answer by stanbon(57357) |
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