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

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Question 815329: Solve. help me please ,I want to make sure i"m doing it right.
Thank you
Find the zeroes of the polynomial.
p(x) = 5x4 – 7x3 – 31x2 + 15x + 18

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Question 815674: the lengths of the sides of a right triangle are x, x+4 and x +8 inches. What is the value of x? What is the length of the hypotenuse of the triangle?

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Question 815880: Use the properties of logarithms to rewrite each logarithm if possible. Assume that all variables represent positive real numbers.
log z x^5 y^3 over 3
The z is dropped down next to the g in log. I'm totally lost and desperately need your help to solve this problem. Thank you so much!

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Question 816208: How do you solve for x: log4(3x+5) = log2(4x-3)
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Question 816712: solve. 8^2x-3 =1/16
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Question 816712: solve. 8^2x-3 =1/16
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Question 816744: Let f(X)= 5X^2 -X+2 And G(X)=3X-2

(f ° G)(X)

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Question 817713: log base 7 (x+6) - log base7 (x-3)= log base7 4
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Question 817755: In 1990, the resident energy use in the US was responsible for 962 million metric tons of carbon dioxide emissions. Byt the year 2000, that number had risen to 1182 million metric tons. The following function models carbon dioxide emissions, where N in the number of metric tons of carbon dioxide and t is years from 1990
If the emissions grow exponentially and continue at the same rate, what will the emissions grow to by 2050?

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Question 817850: I have a pH problem wherein pH = 2.3
so 2.3=-log[H3O+]
-2.3=log[H3O+]
10superscript-2.3=[H3O+]
The answer I get with the calculator is 199.256
The answer given is 5.0x10superscript-3
How do I get answers like theirs? I don't understand.

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Question 817155: If you invest $2,000 at a 5% interest, compounded semiannually, how much will you have in 10 years?
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Question 818175: calculate the slope of line segment cd if cd endpoints are (-1,3)and (2,9)

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Question 817151: How long will it take to double an investment compounded continuously at a rate of 7%?
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Question 818727: log(x^2-x-12)+2=log(x-4)

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Question 818727: log(x^2-x-12)+2=log(x-4)

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Question 818744: Find the sum of the digits of 10^36-63
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Question 819023: x^2-6x-19=(x+h)^2+k
The answer I have to find looks like this ( )^2+ _____ This is a box shape
This is my first final in college and I couldn't go to study sessions due to snow and ice. I have all other study questions correct.
I would appreciate any help.

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Question 819018: kh^rs^t
Where r is the exponent of h is:
Where t the exponent of s is:
Where k the leading coefficient is:
I would appreciate any help you can give. I have my first finals this week and all study sessions were cancelled due to snow and ice.

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Question 819127: 75=50(x)^(4/12)

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Question 819486: how do you solve: log base5 √5^6=x
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Question 819617: solve ech exponentionl eqution for all real solutions
2^15-3x=8

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Question 819652: evaluate:
log3 8.69

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Question 819616: simpplify each expression completely. Your solution must contin no negative exponents
(1/8)^-2/3+3X(5)^0

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Question 819364: need step by step help with solving
5ln z + ln x/2

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Question 818780: Given that y=ax^n - 23 and that y=4 when x=3 and y=220 when x=9 find the value of a and n.
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Question 816206: I am having a hard time solving to graph : g(x)=log base 3^(x+2) + 7
I do not need help with the graphing part but I cannot solve to get the points.

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Question 814813: find x, 2logx=x/25
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Question 819899: I am working on trying to write an equation for 2 different certificates of deposit starting with $5000.00 in each. The first is 2 years @ 1.410% APY
The second is 5 years @ 3.04% APY. The two equations that I came up with are
F(X)= 5000(1.410)^2x
F(X)= 5000(3.040)^5x
They don't seem to work

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Question 819620: Solve each exponential equation for all the real solutions
9^2x+1=27^x+5

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Question 816014: Rewrite each of the following as sums and differences of a logarithm of some number.
a. log base 7(4/y)
b. log base 2 (x^4*12)
c. log base 5(10x^3/y^5)

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Question 811950: 1 + 2^x+1 = 27

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Question 820003: 2logx log5=log15 log2x I have no idea what I am doing, so some help would be nice please and thank you
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Question 820113: write as the positive logarithm of a single logarithm
2 ln (7x) + 4 ln (x^2)

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Question 819841: Find couples m and n if mn-1|n^3-1. Numbers m and n are positive and elements of set N.
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Question 820515: If 3^-x=2, what does 3^2x equal?
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Question 820115: write as the positive logarithm of a single logarithm
log 5 (x^2-1) - log 5 (X+1)

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Question 820104: write as the positive logarithm of a single logarithm
-ln (1/2)

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Question 820100: write each expression as a sum or difference of logarithms. express powers as factors
log 3 (3x^3)

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Question 820101: write each expression as a sum or difference of logarithms. express powers as factors
ln (e^2x)

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Question 819220: What is (-8)(-8)(-8)(h) written in exponential form?

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Question 812172: How do you write 10 to the power of -3 divided by 5 to the power of 3 in a power
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Question 810517: I need help with Part A and Part B!!
a) If 7 ^ x = 43 , then x =
(b) If 14 ^ ( -x ) = 2 , then x =

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Question 821130: What is x in the following: 3 to power of x = x+3
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Question 821338: Paul deposited $500 into an account paying 8% compounded annually, where t=0 represents the year 2001. Find the first year that his account has at least $1,200.
A)2002
B)2005
C)2010
D)2012

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Question 821773: The effectiveness of a drug is given by the formula +N=250e%5E%28%28-25%2F100%29t%29+
Where N is the number of effective particles and t is the time in years.
Plot a graph N against t for values of t from 0 to 5 years
Determine by calculation the half life of the drug (the time it takes for the drug to have half the original number of effective particles)

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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