Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 228453: Please help this is due tomorrow and each time i try i get an answer of 4 hours, which is to large of a number.
The question is Newton determined that when a warm object is placed in colder sutroundings or a cold object is placed in warmer surroundings, then the difference between the two temperatures decreases in an exponential manner. If Dsub0 is the initial difference in temperature, then the difference at time t is given by the formula below. Given this a turkey with a temperature of 40F is moved to a 350F oven. After 4 hours, the internal temp of the turkey is 170F. If the turkey is done when its temp reaches 185F, how much longer must it cook.
Dsub0 = D0e^et, k is a constant, t=time hours
Click here to see answer by Theo(13342)

Question 229893: i need help with this one too: If (x-2) is a factor of 3x^3 -kx^2 +(k+1)x-2; find the value of k.
Click here to see answer by ankor@dixie-net.com(22740)

Question 230298: how do make x the subject in this equation:

y=25-e^x
Click here to see answer by stanbon(75887)

Question 230266: b=+-0.5^1/5730
b=0.999879
I don't understand how they got 0.999879 from the first line.

Click here to see answer by rfer(16322)

Question 230622: How do I solve for a varaible with a decimal exponent?
x^0.725 = 41.494
Click here to see answer by jsmallt9(3758)

Question 231057: Hi, I'm having problems simplifying this problem:
(x^{a+b})^{a-b}
-----------------
(x^{a-2b})^{a+2b}
Some of the things I have tried:
x^{2a-2b}
---------- ---> x^2b
x^{2a-4b}
I'm also beginning to think it isn't possible to simplify any further than the original question. Help?
Thanks in advance.
Click here to see answer by Theo(13342)

Question 230242: Please help me solve the following
(logx)^2 - logx^2 = 3
Thanks!!!
Click here to see answer by troymuga(3)

Question 231152: i need help solve this equation 20(1.05)^x=80+10x
Click here to see answer by stanbon(75887)

Question 231177: 82/3.8-1/3

Click here to see answer by rfer(16322)

Question 231367: Th half-life of Carbon 14 is 5730 years. If 8 grams remain after 1000 years, what was the initial quantity?
Click here to see answer by nerdybill(7384)

Question 231015: Simplify:
Use only positive exponents to write your answer.
4t^4w^7*3x^-9x4w^-3*6t^4
Will someone please help me with this one. I do not have a clue with this really
Click here to see answer by ankor@dixie-net.com(22740)

Question 231672: how do you go about solving log(x-5)+log(x-2)=1?
Click here to see answer by stanbon(75887)

Question 231763: How do I work this out..
given f(x)=-7x+4 and g(x)=9x+2 represent (f+g)(x)
Click here to see answer by curioustoknow(5)

Question 231848: 2 to the power of 6 = 4 to the power of n?
Click here to see answer by stanbon(75887)

Question 231960: Hello could you show me how to solve this problem and explain to me how you solved. I am trying to get a better understanding of solving these problems.
f(x)=2x�-3x

Click here to see answer by Alan3354(69443)

Question 232172: How would you solve the following equation by either factoring or the quadratic formula?

I got this far
and I don't know what else to do.

Click here to see answer by Alan3354(69443)

Question 232157: Multiply. (r + 2)^3
Click here to see answer by checkley77(12844)

Question 232561: how to do 10,090,000 in scientific notation?
Click here to see answer by rfer(16322)

Question 232582: how much is 6792800000 as a percent ?
Click here to see answer by rfer(16322)

Question 233656: Can you help me write an equation for the power function, and state its power and constant of variation?
X- 1 8 27 64 125 216
Y- 2 4 6 8 10 12
Click here to see answer by scott8148(6628)

Question 234053: What are the steps to finding 4(log9 of X)^2 - 2(log9 of X^2)=3?
Click here to see answer by stanbon(75887)

Question 233638: How do you rewrite an expressions like 16^3/4?
How do you simplifly 64^2/3, 25^5/2, and 81^7/4 by doing two steps ? how do you calculate the value of each of these expressions?
How do you solve each of the following equations for x: 2^1.4=2^x, 8^x=4, 3^5x=9^2

Click here to see answer by rapaljer(4671)

Question 234330: 9x(squared)-121=0
Click here to see answer by stanbon(75887)

Question 234563: Express as a product
Q: log base b t^8
I don't know how to type the the letter "b" next to the word like on my paper, it is lower than the word log and the number 8 is an exponent of the letter t.
Thank you in advance
Click here to see answer by Alan3354(69443)

Question 235924: What are the inverse of the functions f(x)=10^x and log10^x?
Click here to see answer by stanbon(75887)

Question 235930: What is the solution to the equation ln( x+1) - ln(x) = 2
Click here to see answer by stanbon(75887)

Question 236370: Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000. determine the percentage of spam in the year 2005
Click here to see answer by checkley77(12844)

Question 236404: How do I do these?
Solve the equation 9^x-1=(1/3)^2x
Solve the equation 4^3x-1=1.5625x10^-2
Click here to see answer by Earlsdon(6294)

Question 234838: x^4-29x^2+100=0
Click here to see answer by JaspersHeart(2)

Question 234838: x^4-29x^2+100=0
Click here to see answer by jim_thompson5910(35256)

Question 236337: simplify ,assume that no denominator is equal to zero
t raise to the power of 7 over t raise to the power of 2
Click here to see answer by jim_thompson5910(35256)

Question 236358: Express x^2/3(y^5 z)^1/3 using radicals.
Thanks a lot!
Click here to see answer by user_dude2008(1862)

Question 237322: Given the function f is defined by f(x)= 6- x^2, find f(a-1) and simplify.
Could somebody solve this problem for me with an explaination?
Thanks
Click here to see answer by solver91311(24713)

Question 237545: (2/5)^x=(125/8)
Click here to see answer by jim_thompson5910(35256)

Question 237654: g(x) = x2 + 3x
h(x) = (x + 3)/2
Find: (h o g)(-1)
Click here to see answer by stanbon(75887)

Question 237808: factoring a harder difference of two squares:
(x-3)^2 - 4z^2
i dont know how to factor this
Click here to see answer by solver91311(24713)

Question 237811: How do I type in logb2 into my calculator. I have the answer to this problem which is .3562 but I can't figure out how my teacher got that answer on my ti-83 calculator.
Click here to see answer by Theo(13342)

Question 237837: x^2+6x+9-y^2
it asks me: factoring harder differences of two squares
Click here to see answer by solver91311(24713)

Question 238097: log_8 (1/4) =
Click here to see answer by solver91311(24713)

Question 238133: 4*(-3((-1)^2-3)^2
Click here to see answer by RAY100(1637)

Question 238613: I am struggling to solve this problem:
3 to the square root of 12x + 3 3 to the square root of 3x
---------------------------------- =
4

Sorry I don't know how to formally write it out on the computer
Click here to see answer by stanbon(75887)

Question 238662: (log4(log4^x))=-4
Click here to see answer by jsmallt9(3758)

Question 238765: how do i solve 3x^(3)+x^(2)-13x+5?
Click here to see answer by Alan3354(69443)

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(20060)

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, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910