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 287995: Simplify: Square root 2x, exponent 8, then space Y exponent 11. 5x, exponent 2, Y exponent 2. It is a fraction.
NOTE: Square root 2x, exponent 8, then space Y exponent 11. -----> they are on the same line. Then Square root 5x, exponent 2, Y exponent 2 ----> are on the same line.
Click here to see answer by richwmiller(17219)

Question 287937: If log2=a and log3=b, express log200 in terms of a and b.
Click here to see answer by jsmallt9(3758)

Question 288114: how do I simplify e^-lne?
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Question 288268: How do you solve for x? -3 ln x-3=12
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Question 287113: how do you solve 16^2x+3=8
Click here to see answer by Alan3354(69443)

Question 288378: A substance decomposes radioactively. It's half-life is 26 years. How much of the original substance will remain after 300 years?
Click here to see answer by ankor@dixie-net.com(22740)

Question 288389: (2/3)^1/8
Click here to see answer by richwmiller(17219)

Question 288510: use the formula log(base a)x=log(base b)x/log(base b)a and prove each property:
a. verify algebraically that log(base a)b=1/log(base b)a
Click here to see answer by stanbon(75887)

Question 288535: find the point of inflection
f(x)= 6x-x^3
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Question 288687: Confirm that the function f(x) = 3x + 2, and g(x) = (x-2)/(3) are inverses.
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Question 288686: Graph the exponential function:
g(x) = e^(x-2)
h(x) = 3^(-x)
Click here to see answer by Fombitz(32388)

Question 288641: 25^x-1=125^4x
Click here to see answer by jsmallt9(3758)

Question 289033: Hello,
I am having trouble with this question - could you please provide me with the steps, and solution?
If the half-life of Carbon 14 is 5730 years, how muc will remain of an initial 3 gms after 1000 years?
Thanks!
Click here to see answer by mananth(16946)

Question 289049: Please help me identify a situation, event , context, etc., that can be describe via either an exponential function or logarithmic function.
Present the function.
Who does it serve?
Consider the practical application of exponential and logarithmic function within the context of health care setting. Thank you so much.
Click here to see answer by nyc_function(2741)

Question 289144: 16 3/4= 8
Click here to see answer by jim_thompson5910(35256)

Question 289628: Find the derivative of the function.
y= ln(4x^3-x^2)
Help is appreciated, we only went over this in one class a little confused.
Answer is 12x-2/4x^2-x
Click here to see answer by Fombitz(32388)

Question 289832: please help me solve this problem. i need to graph ten ponts on the graph of the funtion. y=x+4
Click here to see answer by richwmiller(17219)

Question 290183: Solve for x. 2log5 10- 1/4 log5 x=log5 50
Click here to see answer by stanbon(75887)

Question 290248: The population of mice in a particular area is growing exponentially. on January 1, there were 5o mice, and by June 1, there were 200 mice, write an exponential function of the form y = ab^x that could be used to model the mouse population y of the area.write the function in terms of x, the number of months since January.
Click here to see answer by stanbon(75887)

Question 290496: 9log9 10---don't know where to start on this one. the 9 in the front threw me off. log 9 10 : would be 9x=10 with no solution
Click here to see answer by nerdybill(7384)

Question 290532:
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Question 290672: My question goes like this; Suppose a non-zero (m) intersects the x-axis at (x0,0). Find an equation for the reflection of this line about y = x.
Click here to see answer by armeng(1)

Question 290927: solve
8 log2.5x=12.5
Click here to see answer by stanbon(75887)

Question 290941: what is the solution to the equation 5^x=17
Click here to see answer by dabanfield(803)

Question 290939: if log10x=-2, what is the value of x?
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Question 291422: 2logx=2
Click here to see answer by Alan3354(69443)

Question 291450: How do you write y as a function of x??
example:
logy=0.24x + 4.5
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Question 291420: log4x=2
Click here to see answer by edjones(8007)

Question 291419: log8-log2x= -1
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Question 291416: log(3x-2)=3
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Question 291660: Factor completely. If the polynomial is prime, state this.
64x3 - 25x

Click here to see answer by Alan3354(69443)

Question 291661: Factor completely. If the polynomial is prime, state this.
5x2 - 23xy - 10y2

Click here to see answer by Alan3354(69443)

Question 291954: How do you simplify this expression. (10^(log5x))
Click here to see answer by Alan3354(69443)

Question 292155: Solve the equation 7(x � 2) = 5x. Round the answer to four decimal places.
Click here to see answer by richwmiller(17219)

Question 292401: Exponents and polynomials: How is this problem simplified?

(2s ^-1t^3(-3) / 6s^2t^-4)
please email asap and feel free to post this problem!
thanks, lroy
Click here to see answer by richwmiller(17219)

Question 292749: Hi
How exactly do I do b + c of this question?
a) Using a large scale, sketch the curve y =1/x between the values of x = 1 and x=2.
b) Divide the interval into n equal parts and by comparing the area under the curve, with the areas of suitable rectangles, show that 1/n * (n/(n+1) + n/(n+2) + ... + n/2n)< log2 < 1/n * (1 + n/(n+1) + n/(n+2) + ... + n/(2n-1)
c) lim (n -> infinity) [n/(n+1)+ n/(n+2)+ ... + n/2n] = log2
Click here to see answer by stanbon(75887)

Question 292976: how do you differentiate the problem (y=x^(1-x))
Click here to see answer by jim_thompson5910(35256)

Question 292973: ho wdo you solve for x for the problem..... (ln(5x-1)-lnx=3)
Click here to see answer by edjones(8007)

Question 292977: How do you find the derivative of the problem (y=(3^x)(X^3))
Click here to see answer by Fombitz(32388)

Question 292914: i have to simplify a question. it is (8a^4b)that whole thing times the exponet of (2/3) OVER (ab)with an exponet of (-1/3) please help! i cant have any negatives!
Thank you
samantha
Click here to see answer by ankor@dixie-net.com(22740)

Question 293348: The exponential model A = 993.9e^0.006t describes the population A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1037 million.
Click here to see answer by nerdybill(7384)

Question 293403: Please help me solve this equation:
Click here to see answer by Alan3354(69443)

Question 293553: i have to find the number of years it will take to double my money. initial amount being 100,000 interest rate 2.88% and its being compunded continuosly
Click here to see answer by scott8148(6628)

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