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

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Question 319538: find solution 1n(x^2+3x)-1n 10=0
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Question 319540: find solution to 8.4=3/4 log(x1(10^2.4))
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Question 319562: kim invests $3,000 at 7.8% annual interest compounded monthly, find the final amount of kim's investment after 15 years
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Question 319564: The number of industrial jobs in fulton county is decreasing by 99% per year. If there are 12,600 industrial jobs in fulton county, estimate the # of jobs to the nearest hundred in 10 years
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Question 319563: Jaime invests $800 at 8.2% annual interest compounded continuously. Find the amount of investment after 20 years
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Question 319749: How do I solve for x: 6%5Ex%2B3=12%5Ex-1 rounding to four decimal places.

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Question 319789: simplify i^26
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Question 319792: express sqrt%28-52%29 in terms of i

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Question 319792: express sqrt%28-52%29 in terms of i

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Question 319795: rewrite root (7x^4) using rational exponents
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Question 319793: f(x)= sqrt x^2-8x+2 evaluate f(-3). Round to the nearest thousandth
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Question 319814: find the value of the expression log3 81 - log3(1/9)
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Question 319816: find the value of log16 160
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Question 319810: find the solution to log2 x=-4
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Question 319888: The amt of a pollutant, measured in parts per million, in pine lake can be by A(t)=14e-0.16t where t is the number of years since a program clean up. How long will it take for the pollutant in pine lake to reach 7 parts per million.
ANSWER: 12.52 YRS OR 4.33 YRS

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Question 319892: Which is equivalent to 4 log3 a+3 log3(2b)-log3^m?
A)log3((2a^4b^3)/m)
B)log3((8a^4b^3)/m)

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Question 319915: The population of starke county is 72,000 and is growing at a rate of 4.8% per decade. Which one is an expression for population of starke county after n decades? I think the correct answer is (72,000(1.04800)n. please help
A) 72,000(1.48)n
B) 72,000(1.048)n

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Question 319914: Find the value of the expression log3 81-log3(1/9)
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Question 319859: simplify sqrt 75x^12 y^9
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Question 319935: Please help me solve this equation: 4^x+3=1/8
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Question 319939: Please help me solve this equation: 10^2logw=9
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Question 319938: Please help me solve this equation: 4^xsquared/4^2x=64
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Question 319944: Please help me solve this equation: 2log7(x-1)=4log7(2)
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Question 319955: Please help me solve this equation: log(log(x))=2
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Question 320197: Multiply 7 sqrt3(4sqrt6-sqrt3) Im LOST.
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Question 320194: 1) Solve for m: 2 log (3m) = 2
2) Find the exact value of sin e if cot e = 5

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Question 320571: Use the following function to find f(-2) and f(1).
f(x)=x^2 + 1
f(-2)=
f(1)=
Please help!!! Thank you!!

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Question 320742: evaluate the expression (4-1/6)+(8+2/3)=
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Question 320816: Please help me solve this equation: 5^x= (7)(3^x)
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Question 320816: Please help me solve this equation: 5^x= (7)(3^x)
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Question 320813: Please help me solve this equation: find the inverse of f(x)= 3+log2 (x-5)
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Question 320812: Please help me solve this equation: find the inverse of f(x)=5^x+6 -7
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Question 320869: Factor completely. If the polynomial is prime, state this.
5x^2 - 23xy - 10y^2

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Question 320902: solve the equation for the variable.
sqrt(y-2)=11

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Question 320902: solve the equation for the variable.
sqrt(y-2)=11

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Question 320903: (3c-2)^3-50=100
so far I have...
(3c-2)^3=150
3c^3 -8=150
3c^3=158

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Question 320904: 2p^3=7p
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Question 320888: Please help me solve: 9ln (5x)=36.
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Question 319806: find the solution for 3(1.5^x)+10=280
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Question 319808: for f(x)= sqrt 9x-2-4 find all values x for which f(x)=0
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Question 319807: solve sqrt 2x^2 + 7x = x + 2
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Question 319934: Please help me solve this equation: (4^x)(3^x+1)=2
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Question 320237: Please help me solve this equation: 4^x+3= 1/8
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Question 321160: given that log 8=0.9031 and log 9=0.9542 and obviously log 10=1, which logarithm cannot be found without the use of a calculator?
a. log 17 b. log (5/4) c. log 15 d. log 600 e. log 0.4
and also if you could show the work as how you got the answer. thank you so much :)

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Question 321314: In 1964, paleontologists discovered the bones of a new species of dinosaur. The age of the dinosaur was estimated using potassium-40 dating of rocks surrounding the bones. Analysis of these rocks indicated that 82.8% of the original amount of the potassium-40 was still present. The decay model for potassium-40 is A=A(subzero)e^(-0.52912t), where t is in billions of years. Let A=0.828A(subzero) in this decay model and estimate the age of the bones of the dinosaur. The bones are _ billion years old. Round to four decimal places as needed.
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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, 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