Questions on Algebra: Logarithm answered by real tutors!

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Question 185318: A certain reproductive element decays according to A(t) = A(0,e^-0.032t). Where t is years. How long would it take to go from 800 grams to 85 grams? (nearest year)
Click here to see answer by ankor@dixie-net.com(6691)

Question 185316: log(sqrt(x),27) = -6
Click here to see answer by solver91311(5072)

Question 185317: 1/2 log(2,x^2) = log(4,4x)
Click here to see answer by stanbon(26252)

Question 185278: A certain reproductive element decays according to A(t) = A(0,e^-0.032t). Where t is years. How long will it take to go from 800 grams to 85 grams? (nearest year)
Click here to see answer by stanbon(26252)

Question 185276: log(sqrt(x),27)=-6
Click here to see answer by nerdybill(2446)

Question 185439: Write the equation (1/3)^-5 = 243 in logarithm form.
Click here to see answer by jim_thompson5910(13786)

Question 185437: Find the value of x. Show steps!
log4 1024=x
a) 1/5
b) -6
c) -1/5
d) 6
e) 5
f) -5
Click here to see answer by jim_thompson5910(13786)

Question 185449This question is from textbook saxon algebra 2
: Evaluate log8 64.
I worked it out to log8=log8 64/64=log 64-log8 64.
Is this right?This question is from textbook saxon algebra 2

Click here to see answer by nerdybill(2446)

Question 185441: Assume that x is a positive number use the logarithm properties to present the expression log (x+10)-log x as the logarithm of a single quanity.
a) log x/x+10
b) log x+10/x
c) none of these
d) log 10
Click here to see answer by nerdybill(2446)

Question 183920: Write each equation in exponential form.

log 0.01 = –2

log 27=3 (this is one problem toghter..)
3
Click here to see answer by Alan3354(6059)

Question 185467: b) HoHalf life of silicon 32 is 710 years. If a sample has 100 grams right now: a) How much will be present in 600 years? w much was present in 1809?
Click here to see answer by ankor@dixie-net.com(6691)

Question 185523: a promisorry note will pay $60,000 at mayurity 20years from now. If you pay $20,000 for the note now, what rate compounded continously would you earn? Use the formula A=Pe^rt
Click here to see answer by stanbon(26252)

Question 185507: 2. The half-life of aspirin in a person's bloodstream is about 15 minutes. A person takes a 325 milligram Bayer Aspirin.
a. Find an equation to represent this situation. Let f(t) be the amount of aspirin (in milligrams) in the bloodstream if t is the number of hours since it entered the bloodstream.
b. When will there be no aspirin left in the person’s bloodstream? (Show your algebra.)

c. What is the domain and range for this situation?

Click here to see answer by stanbon(26252)

Question 185694: Simply the expression
(256x^4 y)^1/4 divided by (625xy^3)^3/4
a) 4x^4/125y^2
b) 4x^1/4 divided by 125y^2
c) 4x^1/4 divided by 625y^2
Click here to see answer by stanbon(26252)

Question 185690: Solve for x and explain:
log[5] x=-2
Hint: [] stands for the number is written is subscript!
Click here to see answer by nerdybill(2446)

Question 185696: log2 7x^3/y
Click here to see answer by stanbon(26252)

Question 185823: i need to solve this problem for x.
log x^1/2 = sq rt (log x)
and
for equation N(a) = 2000 + 500 loga
a = amt of dollars
N(a) = number of units
if N(a) = 5000 units
what is a?

Click here to see answer by solver91311(5072)

Question 185729This question is from textbook Alegbra 2
: Explain why the expression and are not defined.This question is from textbook Alegbra 2

Click here to see answer by jim_thompson5910(13786)

Question 185731: a=p(1+r/n)^nt
5000=250(1+r/4)^40
? I don't know where to go from here.
Click here to see answer by jim_thompson5910(13786)

Question 185778: Fill in the blank to make a true statement. To solve 8^x=26, we can take the logarithm of each side of the equation to get log (8^x)=log(26). The power rule for logarithms would then provide a way of moving the variable x from its position as an___________________________ to the position of a coefficient.
a) none of these
b) negative value
c) function
d) log
e) base
f) exponent
Click here to see answer by jim_thompson5910(13786)

Question 186078: I need help solving this equation p=12+50ln(x) where x=4

So far p-12=12-12+50ln(4) subtract 12 from both sides
p-12=50ln(4)
p-12/50=50ln(4)/50 divide both sides by 50
p-12/50=ln(4)
p/4.666=ln(4)
Click here to see answer by vleith(1977)

Question 186097: PLEASE HELP ME:)
ALGEBRAICALLY Solve:
1) logbase7 x - 1/2 logbase7 9 = logbase7 5
2) 1/4 logbase5 81 - logbase5 x = logbase5 (x+2)
Click here to see answer by vleith(1977)

Question 186256: Hi there,
Could you please help me with the following advanced functions question? I tried really hard to get a solution, I just dont know how to solve it in a trial and error manner.
Question: Use systematic trial and error to evaluate log50. (2 marks)
Click here to see answer by vleith(1977)

Question 186520: Find exact/appropriate solution. Round to three decimal places
log(x) - log(3)= log(6)
Click here to see answer by nerdybill(2446)

Question 186597: Hi guys, im stumped with this one:
2ln2 - ln(x-1) = ln(2x)
solve for 'x'.
cheers =)
Click here to see answer by nerdybill(2446)

Question 186597: Hi guys, im stumped with this one:
2ln2 - ln(x-1) = ln(2x)
solve for 'x'.
cheers =)
Click here to see answer by josmiceli(3003)

Question 186596: log3 + 2 = log x
solve for x
logs are to base 10
Click here to see answer by stanbon(26252)

Question 186596: log3 + 2 = log x
solve for x
logs are to base 10
Click here to see answer by nerdybill(2446)

Question 186891: i need help please
How many hours will it take a small plane going 270mph to over take
another plane going 220mph if the slower plane has a head star of 1/2 hour?
please help
Click here to see answer by jojo14344(1483)

Question 186959: 3^X=243
Click here to see answer by Earlsdon(4898)

Question 187010: logx (x^2 - x + 4) = 2
3 + log 3 243 = 3x - 4
Click here to see answer by jim_thompson5910(13786)

Question 187062: Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response.
1. f(x) = 5x
2. f(x) = 4x+2
3. f(x) = (1/3)x
4. f(x) = log5x

Click here to see answer by Alan3354(6059)

Question 187156: 3^4x-7 = 1/9
Click here to see answer by Edwin McCravy(2920)

Question 187160: (2/5)^x = 25/4
Click here to see answer by Edwin McCravy(2920)

Question 187167: log(x^3) = (log x)^2
Click here to see answer by user_dude2008(715)

Question 187166: log(2x^2+3x) = log(10x+30)
Click here to see answer by user_dude2008(715)

Question 187166: log(2x^2+3x) = log(10x+30)
Click here to see answer by uday1435(57)

Question 187165: log(x^2+19) = 2
Click here to see answer by user_dude2008(715)

Question 187163: e^x+1 = 20
Click here to see answer by user_dude2008(715)

Question 187201: ln(2x+3)=6
Click here to see answer by 543210aaa(2)

Question 187202: 5
lne
Click here to see answer by jim_thompson5910(13786)

Question 187473: Use mental math to solve each equation.
please help with these.. i have a really hard time understandin them.. your help will help me a bunch;] thanks

2^x=1/8

10^6x=1

log4^2=x ( i got 1.204, but im not sure about it)

solve 5^2x=125

Click here to see answer by Alan3354(6059)

Question 187516: if log5 (7)=v and log5(9) =w, express the following in terms of v and w
log5 (25/49)
Click here to see answer by est_qed(2)

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