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 379294: how can i write 0.00001 ion exponential form with base 10?
Click here to see answer by robertb(5830)

Question 379109: Superman has been disabled by a nearby amount of Kryptonite. He cannot regain his power until 90% of the kryptonite disntegrates. If the half life of Kryptonite is 5 days, how long will it be before he regains his powers?
Click here to see answer by ankor@dixie-net.com(22740)

Question 379536: Plz help!
1. what is x if 3x^2-2+7=0 then (x- 1/3)^2= ?
2. If y=b^x and b>1, which one is true: A log y b=x. B. log b x=y. C. another answer(explain)
Click here to see answer by ewatrrr(24785)

Question 379727: If log9=0.95 and log2=0.30, then what is log8?
Click here to see answer by fractalier(6550)

Question 379771: use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1.
log 5 + log 2
Click here to see answer by jim_thompson5910(35256)

Question 379819: Solve
9^x=27
Click here to see answer by Fombitz(32388)

Question 379905: 3i(2i-5i)
Click here to see answer by richard1234(7193)

Question 379955: How to solve for x in the equation
xlnx = 0.032 + 4.14x
Click here to see answer by richard1234(7193)

Question 380071: solve for x
4^x+1=8^2x+3
Click here to see answer by stanbon(75887)

Question 380611: what is the solution to the equation logbase16^(32)=x+5
Click here to see answer by nerdybill(7384)

Question 380917: solve the equation log2(8x+8)=6
Click here to see answer by nerdybill(7384)

Question 380907: For f(x)=8x+6 and g(x)= x squared find (g of f)(x)
Click here to see answer by Theo(13342)

Question 380915: Write the expression log2(6x/y) as a sum and/ or difference of logarithms
Click here to see answer by Theo(13342)

Question 380916: write the expression (log base of b)(2y+5)-4(log base of b)(y+3) as a single
logarithm
Click here to see answer by Theo(13342)

Question 380902: Find the composition of f of g. Determine the domain of the composition
a. f(x)= the squared root of x
b. g(x)=2x+9
Click here to see answer by robertb(5830)

Question 380911: The function f(x)=9x+1 is one-to-one. Find the inverse
Click here to see answer by Theo(13342)

Question 380913: Solve the following exponential functions
a. 5 (with an exponent of) 5x+1 = 125
b. 3 (with an exponent of x squared) = 81 (with an exponent of x)
Click here to see answer by jsmallt9(3758)

Question 380758: what is the log terms to working with this X^-2/3=9
Click here to see answer by jsmallt9(3758)

Question 380901: Given f(x)= 18/x+4 and g(x)= the cubed root of x find the value of the following compositions
a. (g of f)(2)
b. (f o f)(1)
Click here to see answer by jsmallt9(3758)

Question 381353: 36 to the x-9 power = 6 to the 2x+2

Click here to see answer by richard1234(7193)

Question 381416: ln(5+4x)-ln(3+x)=ln3
Click here to see answer by nerdybill(7384)

Question 381419: 1.2(.9)^x=.6
Click here to see answer by edjones(8007)

Question 381634:
or

the question was not printed very clearly so i couldn't tell which form the question was in. any assistance would be greatly appreciated.
Click here to see answer by jsmallt9(3758)

Question 381770: Evaluate
log3 1
Click here to see answer by richard1234(7193)

Question 382538: What would the answer be if y=6500(85.7)^3? Ive tried this equation many times on my calculator, and I get 4,091,248,155. For the question I have, it seems to be too large of a number. (A COMPUTER VALUED AT $6500 DEPRECIATES 14.3% EACH YEAR. WRITE A FUNCTION THAT MODELS THE VALUE OF THE COMPUTER AND FIND WHAT THE COMPUTER WOULD BE WORTH IN 3 YEARS.) Thanks!
Click here to see answer by scott8148(6628)

Question 382688: if the equation x^4+ax^2+bx+c=0 has roots 1,2,and 3 Find c
Click here to see answer by richard1234(7193)

Question 382693: if f0(x)=1/1-x and Fn+1= f0 o fn for n = 0,1,2,....find f100(3)
Click here to see answer by richard1234(7193)

Question 382904: Seeing as I don't even know where to begin this is an extremely difficult question for me.
The gravitational force on an object (or weight) varies inversely to the square of the distance the object from the center of the Earth. An object weighs 430 pounds when it is on the surface of the Earth, which means the object is 3960 miles from the center of the earth.
a) calculate the value of k.
b) determine the weight of the object, to the nearest pound, when it is 230 miles ABOVE the Earth's surface.
so i know to start with something like y=k/w^2
I think??
Click here to see answer by stanbon(75887)

Question 383011: If f(x) = x^2-1 and g(x)=1-2x, then find g(2) f(g(2)) f(g(x))
Click here to see answer by stanbon(75887)

Question 383246: 6^x=7^(x-5)
Click here to see answer by robertb(5830)

Question 383320: I am so confused with this. Please help.
Graph y=log(base 3)(x+2)+1
Click here to see answer by stanbon(75887)

Question 383529: 7^x+3=12 I need an exact answer

Click here to see answer by Fombitz(32388)

Question 383530: 8^2x-1=90 I need this to the nearest thousandths
Click here to see answer by Earlsdon(6294)

Question 383654: Find the sum of the infinite geometric series.
8+2+1/2+1/8....
Click here to see answer by Fombitz(32388)

Question 383934: I have an equation -36wx^2-114wx-70w that needs to be factored completely, i get to 2w(-18x^2-57x-35) but then am not able to simplify it any more, and was just curious if thats the final result?

Click here to see answer by jsmallt9(3758)

Question 384243: Solve
6^x=48
Click here to see answer by richard1234(7193)

Question 384403: solve each equation. If the answer is not exact give the answer to 4 decimal places.
3^(x+3)+3^x=84
4^(x+2)-4^x=15
Click here to see answer by jsmallt9(3758)

Question 385325: log6(2x-3)=log6(x+2)
Click here to see answer by stanbon(75887)

Question 386511: solve by factoring
x2-3x-10=0
Click here to see answer by Fombitz(32388)

Question 386514: Solve Simultaneously for x and y:
4^x(times)2^y=16
and
8^x=2^(y/2)
Click here to see answer by ewatrrr(24785)

Question 386599: According to the text �Realistically, most quantities that are growing exponentially eventually level off.� Why would this be true? Provide a specific example of an exponential model in your response and explain why at some point the growth cannot be exponential.
Click here to see answer by richard1234(7193)

Question 386595: What is the difference between (fg)(x) and (f ◦ g)(x)?
Click here to see answer by Fombitz(32388)

Question 386597: Let g(a) represent the number of gallons of sealant needed to seal a bamboo floor with area a. Let c(s) represent the cost of s gallons of sealant. Which composition makes sense: (c ◦ g)(a) or (g ◦ c)(s)? What does it represent?
(HAVING TROUBLE WITH THIS ONE)

Click here to see answer by Jk22(389)

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