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 470756: 8. Use properties of logarithms to find the exact value of the expression.
9 elog9 2
please help I'm lost!
Click here to see answer by Alan3354(69443)

Question 470755: 7. Solve the equation below. Please show all of your work.
log4 2=5/4-2x
Click here to see answer by Alan3354(69443)

Question 470758: 10. Solve the logarithmic equation. Please show all of your work.
2 log2(x-1)=6

Click here to see answer by nerdybill(7384)

Question 470759: 11. Solve the exponential equation. Express your solutions in exact form only. Please show all of your work.
e^x+15-e^x=4

Click here to see answer by ccs2011(207)

Question 470964: can you break this down for me step by step exsplaing
log10 19
Click here to see answer by Alan3354(69443)

Question 470906: What is rule (ii) in an equation like 8-2x≤ 10?
Click here to see answer by rfer(16322)

Question 470906: What is rule (ii) in an equation like 8-2x≤ 10?
Click here to see answer by Alan3354(69443)

Question 471280: Please help me solve this probem
Solve the equation 1296 x = 6
Click here to see answer by imapoet_2003(3)

Question 470744: 2. Find the components f and g so that f◦g = H.
H(x)= ln(x�-8)
I really need help with this please.

Click here to see answer by richard1234(7193)

Question 471788: Evaluate or simplify the expression:
8^(10^log 8.1)

Click here to see answer by Tatiana_Stebko(1539)

Question 471929: State the range of the numbers displayed in column x and column y.
x y
1 5
2 7
3 9
Click here to see answer by MathLover1(20850)

Question 471929: State the range of the numbers displayed in column x and column y.
x y
1 5
2 7
3 9
Click here to see answer by richard1234(7193)

Question 472320: Log[7](3t^2-5t-2)-log[7](t-2)=1
Click here to see answer by ewatrrr(24785)

Question 472433: The initial population of a town is 127,866 and it grows with a doubling time of 12 years. What will the population be in 33 years?
Click here to see answer by nerdybill(7384)

Question 472660: A certain bacteria population is known to double every 90 minutes. Suppose that there are initially 140 bacteria.
What is the size of the population after t hours?
Click here to see answer by robertb(5830)

Question 472662: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palaladium-100 has been reduce to a mass of 3 mg.
What was the initial mass of the sample?
What is the mass 7 weeks after the start?
Click here to see answer by ankor@dixie-net.com(22740)

Question 472846: please solve for x
5^(4x)=125^(x+2)
Click here to see answer by ewatrrr(24785)

Question 472867: I need to check my answer:
Write as the sum and/or difference of logarithms. Express powers as factors.
log5[x^5/y^6]
Thanks
Nikky

Click here to see answer by stanbon(75887)

Question 472890: solve the equation
log2(x+2)+log2(x-4)=4
Thanks,
Nikky
Click here to see answer by ankor@dixie-net.com(22740)

Question 472916: simplify ln(1)
Click here to see answer by Alan3354(69443)

Question 472926: Solve
5+6ln x=2
Click here to see answer by Alan3354(69443)

Question 472926: Solve
5+6ln x=2
Click here to see answer by stanbon(75887)

Question 473154: Hello there I need help with the following questions please,
1) Log base 5(x^-2x-10)= 2
2) 2^3x-7 = 8 ^2x+2
3) x = log of Square root 512 to the base of square root 2
4) 7^x = 1/343
5) 2x + y^2 - 6y - 12 = 0
any help will be greatly appreciated.
Click here to see answer by katealdridge(100)

Question 473276: Solve for x: log4 x-log4 (2x-1)= 1
Click here to see answer by jim_thompson5910(35256)

Question 473638: log10 x * log10 y
Click here to see answer by Alan3354(69443)

Question 473857: 100^(x-3)=1000
Click here to see answer by Alan3354(69443)

Question 473858: 100^(x-3)=1000^x
Click here to see answer by Alan3354(69443)

Question 473939: How do i solve this log5^7+1/2log5^4=log5^x
Click here to see answer by ccs2011(207)

Question 473962: ((3/2))^-4 x ((3/2))^2
Click here to see answer by Tatiana_Stebko(1539)

Question 473952: log10^7+log10(3n-2)=log10(6n+1)
Click here to see answer by stanbon(75887)

Question 474069: 2x+y^2-6y-12=0 graph the equation
Click here to see answer by lwsshak3(11628)

Question 472432: 7^(2X+1)=(1)/(3^(2-X)
Click here to see answer by lwsshak3(11628)

Question 471596: 4^(-3X+1)*16^(-X)=1^(-10)
Click here to see answer by lwsshak3(11628)

Question 472323: |2^(x^2)-8|=3
Click here to see answer by lwsshak3(11628)

Question 474358: Solve. 1/25 = 5^x + 4

Click here to see answer by Alan3354(69443)

Question 470382: 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 470377: Divide using long division.
(-30x2 - 47x - 7) � (-6x - 1)
Click here to see answer by lwsshak3(11628)

Question 471049: 5. Change the logarithmic expression to an equivalent expression involving an exponent.
log[2](1/32)=k
can someone help me out?
Click here to see answer by lwsshak3(11628)

Question 471048: 4. Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph.
f(x)=5^(-x)-4

please help.
Click here to see answer by lwsshak3(11628)

Question 470779: 1/4log(x)-log(100)=2
solve the equation by finding the exact solution
Click here to see answer by lwsshak3(11628)

Question 470432: Solve the logarithmic equation using the one-to-one property.
log (x + 5) = log (5x - 4)
Click here to see answer by lwsshak3(11628)

Question 470401: Write the equation in its equivalent logarithmic form.
5^-2=1/25 (raised to negative 2 power)
Click here to see answer by lwsshak3(11628)

Question 474932: x^logx = 100x
Click here to see answer by Theo(13342)

Question 475306: The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion.
In what year will the GDP reach $2 trillion? You just need to give the year, not part of a year.

Click here to see answer by Theo(13342)

Question 475305: An anthropologist finds there is so little remaining Carbon-14 in a prehistoric bone that instruments cannot measure it. This means that there is less than 0.5% of the amount of Carbon-14 the bones would have contained when the person was alive. How long ago did the person die? Round your answer to the nearest thousand. (22,000, etc)
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