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Tutors Answer Your Questions about logarithm (FREE)
Question 37107: Using a calculator, find log 1000 where log means log to the base of 10.
Answer:
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:
Using this formula, find .
Answer:
Show work
Click here to see answer by longjonsilver(2297)   |
Question 37108: A computer is infected with the Boro virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected
Click here to see answer by mbarugel(146)  |
Question 37101: HELP!!! I have to write the logarithmic equation in exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25".
The 3 after log goes small...as if it was an exponent but to the bottom.
log3 27 = 3
Click here to see answer by josmiceli(3003) |
Question 37097: There is no way I can figure this one out:( Could you please help me out? TKS!!!
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x3 - 3x2 - 2x + 1
- f(x) = ex
- f(x) = 3x - 2
- f(x) = log x
- f(x) = x2 - 5x + 6
Click here to see answer by josmiceli(3003) |
Question 37576: i have no idea to solve thiese type of question, if will be great if u can help me, thanks...
1. log(base 1.5)(3x-2)-log(base1.5)(56)less than log(base1.5)-log(1.5)(7)
2. log(base2)(x+3)+log(base2(x+2)greater than log(base2)(6)
3. xlog(base1/3)(7)-2log(base1/3)greater than zero
Click here to see answer by Nate(3495) |
Question 38399: If a bank compounds continuous, then the formula becomes simpler, that is A=Pe^rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Use 20,000 at for 3 years at a rate of 8 percent.
This is what I have so far:
A= 20,000e^.08*2
A= 20,000e^.16
= ?
I am lost as to finding the answer, I don't understand what to do with e. Could you please help me? Thanks, Christine
Click here to see answer by fractalier(1804)  |
Question 38399: If a bank compounds continuous, then the formula becomes simpler, that is A=Pe^rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Use 20,000 at for 3 years at a rate of 8 percent.
This is what I have so far:
A= 20,000e^.08*2
A= 20,000e^.16
= ?
I am lost as to finding the answer, I don't understand what to do with e. Could you please help me? Thanks, Christine
Click here to see answer by Nate(3495) |
Question 38400: This question really has me stumped. Now suppose, instead of knowing t, we know tht the bank returned us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t)
P= 25,000, R= .08, t=?
I could really use some help with this one. Thanks, Christine
Click here to see answer by Nate(3495) |
Question 38441: Most calculators have 2 different logs on them: log, which is base 10, and 1n, 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(subscript b)=loga (over) logb
Using this formula, find log (subscript 2) 1000.
Click here to see answer by fractalier(1804) |
Question 38457: ASSUME THAT LOG 4=0.6021, LOG 5=0.699 AND LOG 6=0.7782 USE THE PRPETIES OF LOGARITHMS TO EVALUATE EACH EXPRESSION ROUNF YOUR ANSWER TO THE NEAREST THOUSANDTH
1.)log125
2.) log1.5
3.) log1/4
4.) log 1/25
EXPAND THE LOGARITHM
1.) log3m^4n-^2
Click here to see answer by longjonsilver(2297) |
Question 39095: Hi, please help me on this question, I've been thinking about it for a long time.
If  and  , determine
a) the values of x and y in terms of a, using positive indices.
b) an equation of x in terms of y
I've tried using the first log rule to do both equations and came up with  and  resectively but I don't know where to go from there. I also transformed it into an exponential equation  and  respectively and still have no clue of what to do.
Thank you.
Click here to see answer by fractalier(1804) |
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