Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 163298: Is this right? I'm not sure.
Using the table of logarithms find the value of each expression.
cube root of 100 ?
this is what I have
100 ^1/3
1/3 log 100
1/3 log 1 * 10^2
1/3 0 + 2
answer 2 That just doesn't look right. Can anybody help???
Click here to see answer by Alan3354(30939)   |
Question 165019:
An investment of $25,400 is placed into an account that earns 6.5% interest compounded quarterly. In how many years will the investment be worth twice the original amount?
I am thinking I would use the compound interest formula A = P(l + i)^n
I had set it up like below but I seem I am doing it wrong. Should I have went with 4 or 12? any help appreciated
i = 6.5%/4 = .065/4 = .01625
101600 = 25,400(1 + .01625)^n
101600 = 25400(1.01625)^n
4 = (1.01625)^n
log4 = log(1.01625)^n
log4 = n log 1.01625
log4/log1.01625 = n
86.0017 = n
86.0017/4 = 21.50004
In approx. 21.5 years , the investment will be worth $101,600.
Click here to see answer by jojo14344(1512) |
Question 165711: The level of thorium in a sample decreases by a factor of one half every 4.2 million years. A meteorite is discovered to have only 7.6% of its orginial thorium remaing. How old is the meteorite?
Click here to see answer by gonzo(654) |
Question 166196: Can anyone let me know if I'm doing this correctly?
Write in exponential form and simply
a) cube root of x^5y^5 - x^5/3y^5/3 Can this simply?
b) cube root of x^2y - x^2/3y^1/3
c) cube root of a multiplied by fifth root of a - a^1/3 x a^1/5 = a^8/15
THannks!!
Click here to see answer by jim_thompson5910(28476) |
Question 167477: I need lots of help with my homework. We are going over the laws of exponents. I understand most of it. Just not problems where you have to divide and the base number is larger on top than on bottom.
My problem is:
12m^8y^6
_________
-9my^4
(^=power)
Click here to see answer by nerdybill(6948)  |
Question 167592: I have a word problem that I need help with. I must show my work.
1. In a certain area, the sale price of new single-family homes has increased 4.1% per year since 1992. If a house was purchased in this area in 1992 for $75,000 and the growth continues, what will be sale price in 2006? Use y=a(1+r)^t and round to the nearest cent.
Thanks
Click here to see answer by checkley77(12569) |
Question 167591: Will someone please help me on these two problems. I was absent and have a test on them later today.
1. Use log5 2~0.4307 and log5 3~0.6826 to approximate the value of log5 12.
2. Express log6 19 in terms of common logarithms. Then approximate its value to four decimal places.
I must show my work. Can you please help me through these
Thanks
Click here to see answer by nerdybill(6948) |
Question 167590: Can someone please help!!!
Round to four decimal places if necessary.
1. (1/5)^t-2=125
2. log4(x-9)=2
3. log4z+log4(z-3)=1
4. 3.9^m-4=10.21
I have to show my work and these I don't understand how to do.
Thanks
Click here to see answer by nerdybill(6948) |
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