|
Tutors Answer Your Questions about logarithm (FREE)
Question 26557: a) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
logb a= log a/log b
please solve quickly. thank you
Click here to see answer by venugopalramana(3286)   |
Question 26946: I was wondering if you could perhapse teach me how to solve this question step by step. thank you.
Topic: Undoing the exponential
If a population is modelled with P = 12,300 e to the power of 0.073t; t in years
When will the population reach 20,000 people provided it keeps growing in the same fashion. In other words how would we solve this equation step by step please? thank you!
Click here to see answer by mbarugel(146)  |
Question 27681: a) Using a calculator, find log 1000 where log means log to the base of 10.
b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
log b A =log A/Log b
Using this formula, log2 1000 find .
Click here to see answer by longjonsilver(2297)  |
Question 27966: Hi, I was wondering how to complete this problem:
Evaluate: 3(log (base 2) 2)^5 ( I hope that makes sense-there is a base of 2 and an argument of 2)
I tried 3(log 2/log 2) ^5 and also (log (base 2)2^5)^3 but I don't think either is right.
Thanks so much!
Click here to see answer by bmauger(101) |
Question 28469: I would appreciate your help with the following. I found one solution that came close, Q#4867 and I followed it fine, but what I have done with my problem and what I know the answer to be (in the back of textbook) doesn't jive.
Problem: Use logarithms properties to expand the the following expression:
ln (sq.root of x^3pq^5/e^7)
The answer is 3/2 lnx + lnp + 5lnq - 7.
Here is what I accomplished, but how does the 3/2 figure. Am I not applying a rule?
ln x^3pq^5-lne^7
lnx^3+lnp+lnq^5-lne^7 (cancel ln & e on next step)
3lnx+lnp+5lnq-7 (so, how should the answer start with 3/2?
Thanks for your help!
Click here to see answer by venugopalramana(3286) |
Question 28560: An initial deposit of $3000 is made in a savings account for which the interest is compounded continuously. The balance will double in seven years. What is the annual rate of interest for this account?
Click here to see answer by stanbon(26252) |
Question 29185: If a bank returns $25,000 with compounded interest, how long was the money left in the bank? rate of 8%. How do I use logarithms to find the answer? I have tried to use my textbook for help but I still do not understand. Thank you.
Click here to see answer by atif.muhammad(135) |
Question 29462: After tx years, the number of units of a product sold per year is given by Q=170*(.04^0.8t) After how many years will the number of units sold per year be 130?
I am lost here
tried
130=170*(.04^0.8t)
135/170 = (.04^0.8t)
.794117647059 = (.04^0.8t)
0.8t = log .04 .794117647059
0.8t=ln.794117647059/ln.04
t=.071616201169/.8
t=.089520251461
correct answer should be 6.18427107346822
Click here to see answer by venugopalramana(3286) |
|
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
|
| |
