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 469171: please help
Write the equation of the parabola in vertex form.vertex (3, 3), point (�3, �33)
Click here to see answer by Edwin McCravy(20059)

Question 469235: please help
use synthetic division to find P(2) for P(x)=x^4+6x^3+2x^2-5x+10
Click here to see answer by lwsshak3(11628)

Question 469344: 4. Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote.
f(x)= e^-x
please help!
Click here to see answer by stanbon(75887)

Question 469365: 11. Solve the following exponential equation. Please show all of your work.
3^(2x+1)=243
can someone help me out?
Click here to see answer by jorel1380(3719)

Question 469364: 10. Solve the following logarithm equation. Please show all of your work.
log(3x) = log4 + log(x � 1)
please help!
Click here to see answer by ccs2011(207)

Question 469358: help me please
The half-life of a certain radioactive material is 66 days. An initial amount of the material has a mass of 474 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 9 days. Round your answer to the nearest thousandth.
Click here to see answer by ccs2011(207)

Question 469361: 8. Solve the following equation. Please show all of your work.
e^(x+8)=6
please help me!
Click here to see answer by Earlsdon(6294)

Question 469360: 7. Given the following function,
(a) find the domain,
(b) determine the vertical asymptote.
(c) submit the graph of the function
Please be sure to show all of your work.
y = 1 � log(x)
please help!
Click here to see answer by robertb(5830)

Question 469357: 6. Find the exact value of the following logarithm without using a calculator. Use the properties of logarithms. Please show all of your work.
If log4 24 - log4 6
Click here to see answer by Earlsdon(6294)

Question 469342: 3. The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work.
f(x) = 8x - 8
Click here to see answer by stanbon(75887)

Question 469389: solve for x log4 5 - log4 x = 2
Click here to see answer by ccs2011(207)

Question 469388: solve for x log4 5 + log4 x = 1
Click here to see answer by ccs2011(207)

Question 469383: The formula for the surface area of a sphere is pi r^2, where A is surface area and r is the radius of the sphere please help me
Click here to see answer by ccs2011(207)

Question 469442: log2 7x + log2 x = 3
Click here to see answer by ccs2011(207)

Question 469442: log2 7x + log2 x = 3
Click here to see answer by Tatiana_Stebko(1539)

Question 469363: 9. Write the expression as a sum or difference of logarithms. Express powers as factors. Please show all of your work.
log4 √pq/7
Click here to see answer by Tatiana_Stebko(1539)

Question 469586: 1.how do you rewrite with a rational exponet:4√19
Click here to see answer by jorel1380(3719)

Question 469625: do any one have the answer for this question?
How does taking the |f(x)| affect the graph?
Click here to see answer by stanbon(75887)

Question 469590: (2 - 5i)2 how do i write this in standard form
Click here to see answer by stanbon(75887)

Question 469633: here is a hard one please help
Write the expression 5+8i/6-i as a complex number in standard form
Click here to see answer by Tatiana_Stebko(1539)

Question 469923: 5. Solve the following equation. Please show all of your work.
(1/7)^x = 343
can someone please help me with this problem?
Click here to see answer by ewatrrr(24785)

Question 470033: put the equation in the form ax2+bx+c=0
-x2+4=(3x-1)2
Click here to see answer by sofiyac(983)

Question 470264: 1. Find the domain of the composite function f◦g . Please show all of your work.
f(x) = x + 6; g(x) = 7/x+7

Will someone help me with this problem? thank you.
Click here to see answer by Theo(13342)

Question 470281: 1. Find the domain of the composite function f◦g . Please show all of your work.
f(x) = x + 6; g(x) = 7/x+7
Will someone help me with this problem? thank you.
Click here to see answer by Theo(13342)

Question 470322: Thank you in advance for your help. I'm 64 years old and not good at math.
my formula concerns rocket fuel, it is as follows-
burn rate =0.0046*(350)0.6, the 0.6 is an exponent of the fuel.
the solved problem is 0.0046*33.608=0.155 inches per second.
I do not understand how he arrived at the number 33.608.
the 0.0046 is the coeffient of the fuel and the 350 is the chamber pressure.
I would know what to do if the exponient was a whole number. Can you help me? Richard J Stanley watts ok.
Click here to see answer by ewatrrr(24785)

Question 470410: Determine whether the given ordered pair is a solution of the system.
(5, -3)
4x + y = 17
3x + 4y = 3
Click here to see answer by solver91311(24713)

Question 470416: Solve the problem.
The sum of two numbers is 12. If one number is subtracted from the other, their difference is -2. Find the numbers.

Click here to see answer by sofiyac(983)

Question 470415: Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions.
y = 14 - 5x
5x + y = 24
Click here to see answer by sofiyac(983)

Question 470414: Solve the system by the substitution method.
x + y = 11
y = x2 - 10x + 25
Click here to see answer by sofiyac(983)

Question 470413: Solve the system by the substitution method.
x + y = 11
y = x2 - 10x + 25

Click here to see answer by sofiyac(983)

Question 470393: Approximate the number using a calculator. Round your answer to three decimal places.
e -0.7
Click here to see answer by MathLover1(20850)

Question 470408: Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
3 x + 6 = 8

Click here to see answer by sofiyac(983)

Question 470405: Solve the equation by expressing each side as a power of the same base and then equating exponents.
(One to one property)

4(1 + 2x) = 64

Click here to see answer by Alan3354(69443)

Question 470404: Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm.

6 log b ^m -log b^ n
Click here to see answer by Alan3354(69443)

Question 470407: Solve the logarithmic equation using the one-to-one property.
log (x + 5) = log (5x - 4)

Click here to see answer by Alan3354(69443)

Question 470392: Approximate the number using a calculator. Round your answer to three decimal places.

3.6 radius or pie symbol
Click here to see answer by Alan3354(69443)

Question 470457: For positive real numbers x, y, and z,which of the following expressions is equivalent to x^1/2 y^2/3 z^5/6?
A. the cubic root of xy^2 z^3
B. the 6th root of xy^2 z^5
C. the 6th root of x^3 y^2 z^5
D. the 6th root of x^3 y^4 z^5
E. the 11th root of xy^2 z^5
Click here to see answer by stanbon(75887)

Question 470388: Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 6x4 + 2x3 - 4x2 + 2

here is the answer I came up with
1/6, 1/3, 1/2, 2/3, 1, 2, 3, all plus or minus
Click here to see answer by scott8148(6628)

Question 470436: Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 6x4 + 2x3 - 4x2 + 2
Click here to see answer by lwsshak3(11628)

Question 470435: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = 4x3 - 21x2 + 29x - 6
Click here to see answer by lwsshak3(11628)

Question 470437: Solve the problem.
Use synthetic division to divide f(x) = x3 + 1x2 - 26x + 24 by x + 6. Use the result to find all zeros of f.
Click here to see answer by lwsshak3(11628)

Question 470412: Solve the system by the addition or substitution method.
x - 6y = -46
-3x - 7y = -62
Click here to see answer by sofiyac(983)

Question 470417: Solve the problem.
An-Mei owns a business making and selling jackets. She has a fixed cost of $1430. It costs $63 to produce each jacket. The selling price is $76 per jacket. Determine the number of jackets that must be made and sold in order to break even.

Click here to see answer by ankor@dixie-net.com(22740)

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