Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 561185: Suppose the supply of x units of a product at price p dollars per unit is given by p=10+5ln(3x+1). How many units would be supplied when the price is $50 each?
Click here to see answer by josmiceli(9674)

Question 561526: Can you help me with graphing this equation? y = e^-3x
Click here to see answer by lwsshak3(6498)

Question 561221: log((x+3)(x-8))+ log((x+3)\(x-8)) = 2
I tried but i cannot solve this equation, whose solution is suppose to be x=-13
Click here to see answer by lwsshak3(6498)

Question 561856: Solve the following expression to find the unknown value:

I have been struggling on this for about an hour with no success. So far i have been attempting to re-arrange the expression, but always hit a dead end.
Click here to see answer by lwsshak3(6498)

Question 561752: Log81 + log16
over
2log3 - log1/4
Answer is 2 but I can't get the steps right
Click here to see answer by lwsshak3(6498)

Question 561079: 1/4 log(x) - log(1000) = 3
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Question 562470: 8 to what power is 1/16th?
Click here to see answer by Alan3354(30993)

Question 561251: 4^x + 6(4^-x)= 5 slove for x
Im not sure how to do this question? would i get two answers for x ?? and can u place a = 4^x to make it easier?
Click here to see answer by lwsshak3(6498)

Question 562609: Solve for x:
(3^x)(4^x-1)=6
Click here to see answer by stanbon(57337)

Question 563103: please help me solve: 128=2^7
7=
2^7 means 2 to seventh power
Click here to see answer by Alan3354(30993)

Question 562699: Find exact solution to the equation
Math teacher said answer was x=-4, but he didn't have time to explain how he got to that answer.
Equation: 10-log5^(x+9)=9
Click here to see answer by lwsshak3(6498)

Question 562902: Solve
log5 3^x = log25 9^(1-2x)
Click here to see answer by lwsshak3(6498)

Question 562605: Solve for x:
3log(base 2)x - 2log(base 2)5x=2
Click here to see answer by lwsshak3(6498)

Question 562946: In a logarithm, why would you let it equal 1, for example, log(8)4=1 , rather than having it equal 1/2 ?
I just want to understand logarithms a little bit more. Thank you
Click here to see answer by richard1234(5390)

Question 563330: Solve for x using logs.
2e^3x=4e^5x
Click here to see answer by nerdybill(6958)

Question 563456: I need help solving for x in this logrithm:
Log(11x + 9) = 3 + log(x + 3)
First I moved both logs to the same side:
Log(11x + 9) - log(x + 3) = 3
Then I divided the logs in order to condense the equation:
Log (11x + 9)/(x + 3) = 3
Next I switched the equation from log form to expodential form:
10^3 = (11x + 9)/(x + 3)
Then I distributed the exponent to the 10 and multiplied (x + 3) to both sides:
1,000(x + 3) =(11x +9)
1,000x + 3,000 = 11x + 9
Then I put the x's on the same side & all whole numbers:
989x = -2991
Then I divided to find x:
X = -2991/989; x = -3.024266936.
Now I realize I did something wrong to come up with this answer so could you please help me?
Click here to see answer by richard1234(5390)

Question 563501: What is the product of 6^-4 • 6^7 using positive exponents?It will be 2^3=216

Click here to see answer by Maths68(1474)

Question 563501: What is the product of 6^-4 • 6^7 using positive exponents?It will be 2^3=216

Click here to see answer by gdebata(1)

Question 563615: log^7b ((7b)7)
Click here to see answer by Alan3354(30993)

Question 563646: log2(x+1)=log4(7x-5)
Click here to see answer by lwsshak3(6498)

Question 562628: what is the log base3 of 21
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Question 563776: whats is the answer for
log(base 8)4 + log(base 8)16=
Click here to see answer by stanbon(57337)

Question 563854: I really need help solving this logarithm:
1/3log(subscritpt 4) x = log(sub 4) 4
First I moved the 1/3 and made it an exponent & simplified the other log:
Log(sub4) x^1/3 = 1
Then I switched the equation from a log to exponential form:
4^1 = x^1/3
Next I cube rooted both sides:
1.5874 = x
Now when I plugged x back into the equation the sides were not equal. Can someone please tell me what I am doing wrong?
Click here to see answer by Alan3354(30993)

Question 563862: solve 2logx+log4=2 is
Click here to see answer by ok.muhammadamin@yahoo.co.id(1)

Question 563902: Hi,
Am stuck in solving the problem
3^x=2; 2^y=3 ; 5^z=3 then solve xyz=1
3^x=2
=>x=log base3 2
2^y=3
=>y=log base2 3
5^z=3
=>z=log base5 3
xyz= log base3 2 X log base2 3 x log base5 3
=>1xlog base5 3
=>log base5 3
Kindly guide me to proceed.
Regards,
AN
Click here to see answer by stanbon(57337)

Question 563657: use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal places)
Click here to see answer by ankor@dixie-net.com(15650)

Question 563867: y=2^x/2-4
indicate the x-intercept and y-intercept.
thank you.
Click here to see answer by KMST(1868)

Question 563953: I need hep solving:
(1/3)^x+1 = 9^x
I made the bases the same:
9^-2(x+1) = 9^x
Then I set the exponents as an equation:
2x + 2 = x
2 = -x
X = -2
When I checked the back of my book for the answer I saw it was -1/3 and I don't how to get it.
Click here to see answer by TutorDelphia(193)

Question 564027: Select all statements that are true
ln logb (N), the exponent is N.
Log (500) is the exponent on 10 that gives 500.
If log1.5 (8) = x, then x^1.5= 8

logb (A) = logb (A-B)
_____________________
logb (B)

If 2 log3 (81) = 8, then log3 (81) = 4
Click here to see answer by stanbon(57337)

Question 563994: How would I solve the following logarithm?
2^x + 1 = 3^x - 4
Click here to see answer by Alan3354(30993)

Question 564323: Solve:
log4(x+3)=2

log7(x+2)=1-log7(x-4)

Thanks
Click here to see answer by ad_alta(240)

Question 564400: solve the equations by finding the exact solution ¼x-3=3
Click here to see answer by Alan3354(30993)

Question 564552: SOLVE.
Log4(log3(log2 x))=0
the 4, 3, and 2 are bases
Click here to see answer by Alan3354(30993)

Question 564764: how to find the logarithm of each using log2=.30,log3=.48 and log 7=.85
log 21
log3^5
log 10.5
Click here to see answer by stanbon(57337)

Question 564703:
The half-life of 234U, uranium-234, is 2.52 105 yr. If 97.4% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

Click here to see answer by ad_alta(240)

Question 564883: -2=logx then x= ??
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Question 565009: solve the equation for x express answer in deciamal value log16^8-log25^5=x
Click here to see answer by lwsshak3(6498)

Question 565397: Every £1 of money invested in a savings scheme continuously gains interest at a rate of 4% per year. Hence, after x years, the total value of an initial£1 investment is £y, where y = 1.04^x.
(a) Calculate, to the nearest £, the total value of an initial £800 investment after 10 years ?
(b) Use logarithms to find the number of years it takes to double the total value of any initial investment ?
Click here to see answer by stanbon(57337)

Question 565317: How do I solve:
Log x + log (13 -3x) = 1
(Bases are 10)
Click here to see answer by scott8148(6628)

Question 565756: what is the answer to { { { log(z-3)=2? } } }
Do you bring the 3 out first?
Click here to see answer by unlockmath(1599)

Question 565979: Solve the simultaneous equations :

logbase2(x) + logbase8(y) = -1
logbase4(x) + logbase2(y) = 2

Cannot solve, spent hours on it
Any help would be appreciated
Click here to see answer by lwsshak3(6498)

Question 565998: Topic : Surds
Rationalise the denominator and simplify the following surd

3sqrt5 + 2
-------------
2sqrt5 - 4

Click here to see answer by ad_alta(240)

Question 565992: Topic : Differentiation
(Q) The line (l) is the tangent, at the point (2,3), to the curve with equation y = a + bx^2, where a and b are constants. The tangent (l) has gradient 8. Find the values of a and b ?
Click here to see answer by htmentor(789)

Question 566246: expand the logarithm log base 2 12^5/11^2
Click here to see answer by Alan3354(30993)

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, 10846..10890