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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 212862: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log9x = -3
I'm not even sure which equation to use with this. Or how I need to put it together? Would it be something like x=log9-3? If not can someone please show me how to I should start and complete this problem.
Click here to see answer by jsmallt9(590)   |
Question 212989: 3^2x+(3^x)-2=0?
My professor gave us a hint and said to change out the 3x for a u..? I think that confused me. I have tried to substitute the 3x for a u. Ex: 3^2x+u-2=0 but that does not make sense so i tried to use u(2-2)=0? I am so confused please help :)
Click here to see answer by jim_thompson5910(13787) |
Question 213021: I'ts been a while since I've solved these kinds of questions (ok 20+ years!) so I need a refresher. I looked a similar problems on-line, but am struggling with how to set it up. Here's the problem:
Sam invested $5000 for one year, part at 9% annual interest and the rest at 12% annual interest. The interest from the investment at 9% was $198 more than the interest from the investment at 12%. How much money did she invest at 9%?
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 213021: I'ts been a while since I've solved these kinds of questions (ok 20+ years!) so I need a refresher. I looked a similar problems on-line, but am struggling with how to set it up. Here's the problem:
Sam invested $5000 for one year, part at 9% annual interest and the rest at 12% annual interest. The interest from the investment at 9% was $198 more than the interest from the investment at 12%. How much money did she invest at 9%?
Click here to see answer by MathTherapy(336) |
Question 212789: Solve the problem.
A rare baseball card was sold in 1990 for $285,000. The card was then resold in 1998 for $459,000. Assume that the card's value increases exponentially, and find an exponential function V(t) that fits the data. (Round decimals to three places.) (Points: 5)
These are my options
V(t) = 285e0.766t, where t is the number of years after 1990.
V(t) = 285e0.06t, where t is the number of years after 1990.
V(t) = 285,000e0.766t, where t is the number of years after 1990.
V(t) = 285,000e0.06t, where t is the number of years after 1990.
Click here to see answer by nerdybill(2446)  |
Question 213160: Word problem
The population growth of an animal species is described by
F(t) = 700 + 50 log3 (2t + 1),
where t is measured in months. Find the population of this species in an area 13 month(s) after the species is introduced.
Click here to see answer by RAY100(1637) |
Question 213724: Recall that the formula for compounding interest is A = P(1+ r)t where A is the total accumulated amount in an account with principal P compounded at a annual interest rate r once per year for t years.
a. How many years will it take for a principal of
P =1000 to reach an amount of A = 5000 when compounded once a year at an annual interest rate of 6%?
b. If the interest rate is doubled to 12%, what will the number of years be for the
principal of P =1000 to reach an amount of A = 5000?
Click here to see answer by jim_thompson5910(13787) |
Question 214160: I should write this problem in exponential for and simplify.... I know how that works (usually) I just dont get how to do it with this problem;
cubed root of "a" times the fith root of "a".....
3_________________________5
v---- < (the v--- is the sqrt.) times v--- (just ignore the _____)
__a_________________________a
Hope my "doodling" helped a bit.....
Click here to see answer by Alan3354(6059)  |
Question 214160: I should write this problem in exponential for and simplify.... I know how that works (usually) I just dont get how to do it with this problem;
cubed root of "a" times the fith root of "a".....
3_________________________5
v---- < (the v--- is the sqrt.) times v--- (just ignore the _____)
__a_________________________a
Hope my "doodling" helped a bit.....
Click here to see answer by jim_thompson5910(13787) |
Question 214160: I should write this problem in exponential for and simplify.... I know how that works (usually) I just dont get how to do it with this problem;
cubed root of "a" times the fith root of "a".....
3_________________________5
v---- < (the v--- is the sqrt.) times v--- (just ignore the _____)
__a_________________________a
Hope my "doodling" helped a bit.....
Click here to see answer by solver91311(5072)  |
Question 215919: Please do each step. Show your work.
Solve each aequation for x.
Part 1: log[3](x+5)=2
Step 1: Write the given logarithmic equation in exponential form.
Step 2: Solve the exponential equation from step 1 for x.
Step 3: Check for extraneous solutions.
Step 4: State the solution for the given equation.
Click here to see answer by nerdybill(2446) |
Question 220596: The half-life of carbon-11 is 20 minutes. How long will it take for 600g. of carbon-11 to decay to 30g?
This problems is solved using logs and A=A(sub 0) e^rt
Tried this one three times and do not get the right answer. Help, please, thank you:)
Click here to see answer by nerdybill(2446) |
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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
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