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

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Question 480430: Solve the following equations algebraically. Approximate the result to 3 decimal places.
2^x-1=27

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Question 480821: Qus-
e^(1.57/0.866) by calculation not using any table

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Question 481218: Compound Interest formula:
A= P(1+(r/n))^nt
I have to use this formula to answer this question:
Determine how much time is required for an investment to double in value if interest is earned at a rate of 6.25% and compounded annually?
Please give me a detailed answer, I have tried using the formula myself but I keep getting stuck and am not having much success.
Thank you in advance for all your help! I really do appreciate it.

Click here to see answer by Theo(13342) About Me 

Question 481976: Determine how much time is required to triple your money if interest is 5.75% and is compounded daily?
I have to use the compound interest formula: A=P(1+(r/n))^nt
Thank you, in advance!

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Question 481976: Determine how much time is required to triple your money if interest is 5.75% and is compounded daily?
I have to use the compound interest formula: A=P(1+(r/n))^nt
Thank you, in advance!

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Question 481976: Determine how much time is required to triple your money if interest is 5.75% and is compounded daily?
I have to use the compound interest formula: A=P(1+(r/n))^nt
Thank you, in advance!

Click here to see answer by Theo(13342) About Me 

Question 482011: how do you solve e^.05t=1600

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Question 482068: convert to logarithmic equations.
e^x = 7

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Question 482309: 36 ^ x = √6
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Question 482576: (16x^2y)^3/4
please help me solve this problem, I'm very confused !

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Question 482844: (3.5*10^-3)(5.8*10^5)
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Question 483478: 1- (x-5)/5 = (x+6)/4 - (4x-1)/20

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Question 483618: Is 4.48*10^35 greater than 6*10^18
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Question 483877: Express as a single logarithm: log(base b)9 + log(base b) 50
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Question 484172: How do you solve (3k to the fourth power) to the fourth power
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Question 484172: How do you solve (3k to the fourth power) to the fourth power
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Question 484242: How do I rewrite the exponential expression 16^3x to have a base 2? Thank you!
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Question 484241: I'm having trouble with this problem. Thanks for your help.
Solve. Express x as a logarithm if necessary.
e^(x)+e^(-x)=4

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Question 484241: I'm having trouble with this problem. Thanks for your help.
Solve. Express x as a logarithm if necessary.
e^(x)+e^(-x)=4

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Question 484565: The given equation involves a power of the variable. Find all real solutions of the equation. (If there is no real solution, enter NO REAL SOLUTION.)
8x2/3 − 200 = 0
Solve the equation for the indicated variable.
V = 1/3πr2h;for r

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Question 484753: I have to answer this expontioal equation using logs question and I am stuck help please
N = 901 x 1.036t
t stands for years and n number of journeys,
need to find year when journeys exceed 15 million
using logs.
please show workings so I can understand

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Question 484833: 150*(1.017)^18=
need answers and how to actually know the steps to take to solve problem. Thanks so much!

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Question 485672: (2t+3)^3
Perform indicated operations and simplify. Please help!

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Question 485962: e^(x2+5x+6)=1
The use of the "e" value causes me confusion with these questions.

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Question 486454: 30x^2y^5/-6x^8y^-3
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 486889: Solve for x using logs.
2^x=e^(x+5)
I know im supposed to use ln, but I get stuck after that.
Please help, thanks.

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Question 489067: What is the exponential equation for log4 1/64=-3
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Question 491369: please help me solve 2^(x-1)=5^(2x+6)
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Question 491994: 2 log x - log 4 = 2
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Question 492151: 9)
Use radical notation to rewrite the expression and simplify if possible:
1000 to the 2/3 power (can't make the 2/3 go up top to the side of the 1000..sorry).

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Question 494368: simplify (-3xy^4)(-4x^3y^6)
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Question 494370: simplify {(1/4)^2-(1/2)^3}x3^2
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Question 494965: Please help me with this problem: (x-3)raised to the fraction power of 2/3 =25
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Question 498795: -2 3
(p/q) * 121/100=1. find (p/q)
i have put power of -2 on (p/q)in first case and power of 3 in second case.

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Question 498794: the fourth power of a rational number is 2401/4096.find the number.
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Question 498808: the fourth power of a rational number is 2401/4096.find the number.
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Question 502982: How to use exponential to solve the following equation (i) 4e(to the power 3t+5) = 4/e(to the power t)
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Question 502985: How to use exponentials to solve the following equation. (ii) 7+3e(to the power x)=3/e(to the power x+6) +7
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Question 503374: This is regarding my previous question which i made a mistake, the actual doubt I have is
How to make x the subj of y=e^2x
Thank you

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Question 503373: how to make y the subject on the equation y=e^2x
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Question 503472: 24+6e(to the power -0,3t)=225
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Question 506542: what the answer for x+5(x+3)=27
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Question 507520: solve log(3x+4)=2log(x)
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Question 507520: solve log(3x+4)=2log(x)
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Question 507228: n^2+4n-12
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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