Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 238812: Determine the transformations on f(x)= log x for f(x) = 3log(x-2)
4 possible answers
shift 2 units down vertical stretch of 3
shift 2 units down horizontal stretch of 3
shift 2 units right vertical stretch of 3
shift 2 units left vertical stretch of 3
Click here to see answer by Edwin McCravy(8909)   |
Question 239310: teacher wants 2 very different ways to transform/translate graph of
log(8-x)? I found one way using two steps, but I need a second way using 1 step.
log(-1)(x-8)= log(-1) + log(x-8)....log(x-8) is a horizontal shift to right, but log(-1) is not defined, so is this OK??
Click here to see answer by jsmallt9(3296) |
Question 239293: When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The beer-lambert-bougar law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 75% for each additionial meter of depth.
a) Explain why intensity I is an exponential function of depth d in meters
b) Use a formula to express intensity I as an exponential function of d. (use I0 to denote the initial intensity.)
c) Explain in practical terms the meaning of I0.
d) At what depth will the intensity of light be one tenth of the intensity of light striking the surface?
Click here to see answer by jsmallt9(3296) |
Question 239904: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain?
Click here to see answer by jsmallt9(3296) |
Question 239910: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain?
Click here to see answer by jsmallt9(3296) |
Question 242212: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this.
500/(1+2e^(-0.4x))=250
The next step is supposed to be 500=250+500e^(-0.4x)
But how do you get that second 500?
Click here to see answer by solver91311(16897)  |
|
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, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535
|
