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

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Question 301207: 4-x= lnx
Thank you

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Question 301569: Carbon-14 has a half-life of 5700 yrs. Scientists use this fact to determine the age of things made of organic material. Suppose the average page of a book containing approximately 0.5 mg of carbon-14 is put into a time capsule. How much c-14 will each page contain after 5700 yrs.
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Question 301789: log sub 2 (x^3 + 3) = 2. I have tried a couple of times to solve this one. I keep ending up with the wrong answer. The correct answer is 1. How do I get there from here?
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Question 302009: solve to three significant digits:
the cube root of (4t plus 3) is equal to 8.15

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Question 302006: solve:
x^(2/3)=50

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Question 302007: solve: (fifth root of x) divided by 9, is equal to 7
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Question 302005: solve:
12^(2x)=100

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Question 302004: solve:
12^(2x)=100

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Question 302209: 2. Bacteria grow by cell division. If each cell divides into 2 in every 2 minutes how many cells will exist after 32 minutes? Assume there was only one cell at the beginning
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Question 302412: Find the approximate decimal solutions to the following equation:
4X^2-9X-5=0
Answers are either:
0.46107,-2.77107
0.46107, 2.71107
-0.46107, -2.71107
-0.46107, 2.71107

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Question 302625: Solve for x: Logb 36 - Logb 2 = Logb x
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Question 302549: 3e^x/4e
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Question 302669: Does the function f(x) = 3^x grow 3 times faster than g(x) = x?
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Question 302788: Hello:
I have a question. I appreciate you taking the time to help me understand so I can get a great grade.
3.5^3x+1=65.4
log 3.5^3x+1=log 65.4
Power Principle
(3x+1)log3.5=log 65.4
(3x)log3.5+(1)log3.5= log65.4
Subtract -(1)log3.5 -(1)log3.5
(3x)log3.5=log65.4-(1)log3.5
(3x)log3.5/log3.5=log65.4-(1)log 3.5/log3.5
At this point, I am lost.
Tina

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Question 302820: 5-3^x=-40
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Question 303180: solve the equation x^3+2x^2+x+2=0 if -2 is a root
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Question 303314: 2^n
___ = 2^6
2^-1

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Question 303560: solving equations log5 (2X + 15) = log5 3X
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Question 303556: An investment with interest compounded continuously doubled itself in 16 yr. What is the interest rate? Please help, I don't get this word problem at all.

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Question 303996: Soil from beneath the Kish Church in Azerbaijan was found to have lost 12% of its carbon-14. How old was the soil?
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Question 304004: the logarithm of 2x to the base 4 equals the logarithm of 3x-2 to the base 4
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Question 304384: Andy's average driving speed for a 4 hour trip was 45 miles per hour. During the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour on his trip.
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Question 304757: use radical notation to rewrite the expresion. then simplify
2251/2=

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Question 305648: How do i go about solving questions such as 4x^2/3= 18 and 3^x=75
I am to solve for x.

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Question 305648: How do i go about solving questions such as 4x^2/3= 18 and 3^x=75
I am to solve for x.

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Question 305649: e^x times 6e^3x-1
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Question 305669: What is the parent function of a logarithm?
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Question 305669: What is the parent function of a logarithm?
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Question 305669: What is the parent function of a logarithm?
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Question 306056: how do u solve this equation
2^3-y=8

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Question 306063: How does the parent function related ot the graph of the function in the following cases?
y=(-2^x)+ 1
y=3^(x-4)
y=(5^(x+1))-2

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Question 306446: Solve(2t^5/w^4)^3
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Question 306695: 384*10x=32
the x is an exponent, its 10 to the x power

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Question 306722: Solve the equation for x and round your answer to the nearest hundreth.
5 = ln(x + 1)

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Question 306845: What is the graph of x^2/16-y^2/64=1?
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Question 307038: log9
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Question 307038: log9
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Question 307045: Okay I have 3 questions that if you can solve them and show the work please!!!
1) log(x+2)+log(x-1)=1
2) write and exponential function whose graph passes through (2,6) and (6,8).
30 Write a power function whose graph passes through (2,4)and (6,8).
Please as soon as possible.
Thank you!

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Question 307185: log(x + 4) + log(x + 3) = log 2
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Question 307443: What approaches can be used to solve equations and inequalities involving logarithms?
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Question 308007: solve the equation e^(2x)=20 for x ....
a. x=10/e
b. x=1n20/2
c. x=1n10
d. x=20-e/2
tthanks!

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Question 308007: solve the equation e^(2x)=20 for x ....
a. x=10/e
b. x=1n20/2
c. x=1n10
d. x=20-e/2
tthanks!

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Question 308011: solve the equation e^(2x)=20 for x ....
a. x=10/e
b. x=1n20/2
c. x=1n10
d. x=20-e/2
tthanks!

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Question 308011: solve the equation e^(2x)=20 for x ....
a. x=10/e
b. x=1n20/2
c. x=1n10
d. x=20-e/2
tthanks!

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Question 308415: what is y9 equal
-
y

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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