Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 39095: Hi, please help me on this question, I've been thinking about it for a long time.
If and , determine
a) the values of x and y in terms of a, using positive indices.
b) an equation of x in terms of y
I've tried using the first log rule to do both equations and came up with and resectively but I don't know where to go from there. I also transformed it into an exponential equation and respectively and still have no clue of what to do.
Thank you.
Click here to see answer by AnlytcPhil(1276)

Question 39229: Ln(x)+Ln(x-2)=1
Click here to see answer by Nate(3500)

Question 39342: How do I do the following problem?

3x^2 = 8
Thank you for your help
Click here to see answer by checkley71(8403)

Question 39345: How do I do the following problem?

5^x = 6^(x +8)
Thank you for your help
Click here to see answer by hellyeah(21)

Question 39340: How do I do the following problem?
log 81=4
b^
Thank you for your help
Click here to see answer by Nate(3500)

Question 39360: Could you help me with this problem, please.
3^x2 =8
Click here to see answer by hellyeah(21)

Question 39360: Could you help me with this problem, please.
3^x2 =8
Click here to see answer by Nate(3500)

Question 39389: True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain
Click here to see answer by lyra(94)

Question 39445: Solve log2(x+2) = log2^3x.
Click here to see answer by stanbon(57290)

Question 39442: Solve e^-2x + 5 = 12.
Click here to see answer by longjonsilver(2297)

Question 39443: Solve -4e^2x + 3 = -5
Click here to see answer by fractalier(2101)

Question 39443: Solve -4e^2x + 3 = -5
Click here to see answer by longjonsilver(2297)

Question 39440: What is the answer to 5^2x = 8?
Click here to see answer by longjonsilver(2297)

Question 39441: Solve e^2x = 5.
Click here to see answer by fractalier(2101)

Question 39456: Tell whether the x-value is a soultion of the equation.
ln x = 3, x = 3e

Click here to see answer by Nate(3500)

Question 39457: Tell whether the x-value is a soultion of the equation.
ln 2x = 14, x = 2e^14
Click here to see answer by Nate(3500)

Question 39467: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
-3 + ln x = 5
Click here to see answer by Nate(3500)

Question 39459: Tell whether the x-value is a soultion of the equation.
5e^x + 2 = 17, x = ln 3
Click here to see answer by Nate(3500)

Question 39469: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
9log10 x - 4 = 11
Click here to see answer by Nate(3500)

Question 39468: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
-5 + 2 ln x = 5

Click here to see answer by Nate(3500)

Question 39466: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
2log10 x = 10
Click here to see answer by Nate(3500)

Question 39461: Solve the equation by exponentiating each side.
log3(x-1) = 8
Click here to see answer by Nate(3500)

Question 39462: Solve the equation by exponentiating each side.
ln(5x - 3) = 2
Click here to see answer by Nate(3500)

Question 39465: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
log2 x = 1.5
Click here to see answer by Nate(3500)

Question 39464: Use the following property to solve the equation. For positive numbers b, x and y where b doesn't = 1, logb y if and only if x = y.
log(3x + 2) = log(x - 1)
Click here to see answer by Nate(3500)

Question 39463: Use the following property to solve the equation. For positive numbers b, x and y where b doesn't = 1, logb y if and only if x = y.
log3(x-1) = log3(2x + 5)
Click here to see answer by Nate(3500)

Question 39444: Solve 2/3^2x = 12.
Click here to see answer by fractalier(2101)

Question 39643: logarithmic form 6^2=36
Click here to see answer by fractalier(2101)

Question 39756: change log base 10 equals 4 to exponential form?
Click here to see answer by Earlsdon(6287)

Question 39823: use the properties of log to rewrite Iny^3. Assume y is a positive number
Click here to see answer by atif.muhammad(135)

Question 39822: solve Inx-1.456. Round answer to 4 decimal places
Click here to see answer by atif.muhammad(135)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by atif.muhammad(135)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by tran3209(100)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by venugopalramana(3286)

Question 37017: logx(9)=-1/3
Click here to see answer by fractalier(2101)

Question 36423: solve: 7^3x-5=5^1+4x
Click here to see answer by fractalier(2101)

Question 40253: log(2+x)-log(x-2)=log(5)
Click here to see answer by Nate(3500)

Question 40252: ln(y-6)=ln(y+6) +ln4
Click here to see answer by Nate(3500)

Question 40276: Which number lies farthest from the origin?

-9,0,-2,3,6
Click here to see answer by fractalier(2101)

Question 40556: I need to solve this equation:
a*x+b*log(x)+c=0
Thanks a lot!
Click here to see answer by stanbon(57290)

Question 40801: What is the value of the product (log2^3)(log3^5)(log5^8)?
(Solve algebraically)
Click here to see answer by stanbon(57290)

Question 40982: ln(y-6)=ln(y+6)+ln4
Click here to see answer by psbhowmick(529)

Question 40982: ln(y-6)=ln(y+6)+ln4
Click here to see answer by stanbon(57290)

Question 41116: Find all real solutions for log4+log+4(x-12)=3
Click here to see answer by stanbon(57290)

Question 41181: I need to solve this log problem:
log( 2, 32)=3x
It is a change in base because it is not log(10). So you have to figure what it equals which I dont know how to do, then you can divide by 3x to solve for x.
Click here to see answer by Nate(3500)

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, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845