Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 518402: What is the value of x when e^(2x) = 7e^x-12
Click here to see answer by solver91311(16897)

Question 518471: 1/3log(x)-log(10)=1
I keep coming up w/ the answer 10_9 in my home work but it says its wrong. What am I doing wrong?
Click here to see answer by Gogonati(809)

Question 518479: 3 to power of (x+2) = 3 to power x + 3 to power of 2
Click here to see answer by solver91311(16897)

Question 518113: e^4x - 8e^2x - 65 = 0
Click here to see answer by lwsshak3(6522)

Question 517570: how do you write logx^4-2logxy^3 as a single logarithm?
Click here to see answer by lwsshak3(6522)

Question 518080: 6e^3x = 540
Click here to see answer by lwsshak3(6522)

Question 519088: need refresher: ln(e^1)=1?---and where might i find more info about this subject matter
Click here to see answer by Alan3354(30993)

Question 519070: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98.2% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?
explain in deatil how to get this solved?
Click here to see answer by ankor@dixie-net.com(15661)

Question 519210: log subscript 2 times 24 - log subscript 2 times 3 = log subscript 5 times x
24/3 = 6

Click here to see answer by stanbon(57395)

Question 518670: Solve 3log2x=4. Round to the nearest ten-thousand.
Click here to see answer by lwsshak3(6522)

Question 519915: What is the answer to log(subscript 5)4.6
Click here to see answer by stanbon(57395)

Question 519929: how do you graph 2log10x?
Click here to see answer by lwsshak3(6522)

Question 519992: Hi! I'm working on this problem. Find the domain and range of f(x)=ln((x^2)-9)
I've worked out that the domain, in interval notation, is (-∞,-3) U (3,∞) which I'm pretty sure is correct. However, I can't work out what the range should be in interval notation because of the infinities. Any help would be appreciated!
Click here to see answer by lwsshak3(6522)

Question 520571: Change the logarithmic expression to an equivalent expression involving an exponent.
log3(1/9)= -2
Click here to see answer by jim_thompson5910(28598)

Question 520597: solve the equation.
6 ln 9x = 12

Click here to see answer by edjones(7569)

Question 520594: solve the equation.
e^(x+2)= 7

Click here to see answer by edjones(7569)

Question 520593: solve the equation.
log3(x+2)= -2

Click here to see answer by edjones(7569)

Question 520501: 10^(10x-7)=3^(2x-4)
Click here to see answer by lwsshak3(6522)

Question 519899: Determine the principal P that must be invested at rate r, compounded monthly, so that $500000 will be available for retirement in t years.
r=7.5%, t=20
Click here to see answer by lwsshak3(6522)

Question 518018: how to solve for each of these logs:
4^ln(3x+2) = 13
12^e0.03x = 15^e0.01x
Click here to see answer by lwsshak3(6522)

Question 517886: Please help me solve logx-log(x=5)=1
Click here to see answer by lwsshak3(6522)

Question 520789: Graph the function.
f(x)= -(1/3)log4x
Click here to see answer by ballerji(1)

Question 521308: 2^(x+1) = 9x
(The x+1 is a power)
Click here to see answer by richard1234(5390)

Question 522231: When there is x-2 written small next to a number like 2 what is X?
Click here to see answer by syberlazer(5)

Question 522634: log (base b) (5x-4) = 7. Solve for x, leave in terms of b.
Click here to see answer by jim_thompson5910(28598)

Question 522651: log[7]x=2
What is the solution set?
Click here to see answer by Tatiana_Stebko(1326)

Question 522957: Find the domain of the logarithmic function. Write your answer in interval notation f(x)=log(base7)(x-4)^2
Click here to see answer by lwsshak3(6522)

Question 522987: solve for x: Log base 10(log base 2(log base4 x))= 0
Click here to see answer by lwsshak3(6522)

Question 522955: How do I express this as a single logarithm ?
1/7ln(x + 2)^7 + 1/2(ln x − ln(x2 + 3x + 2)^2)
Click here to see answer by lwsshak3(6522)

Question 521691: express log[b]3-log[b]4+2log[b]5 as the logarithm of a single number
Click here to see answer by lwsshak3(6522)

Question 523269: Hi, I was just wondering what the graph of y=log(base x)n would look like, where n is a positive integer, for example n=10. I was thinking it would have vertical asymptotes at x=-1, x=0 and x=1 because effectively you are plotting x^y=10 and x couldn't be those values. Then between -1
Click here to see answer by Alan3354(30993)

Question 523270: . . Then for x between -1 and 1, y would be negative? But I am unsure about when because wouldn't the values for y need to be positive even integers for (-x)^y to be positive? I think I might be getting myself a little confused, I would appreciate any help or advice. Thank you.
Click here to see answer by Alan3354(30993)

Question 523300: Solve the equation. Logx=1
Click here to see answer by stanbon(57395)

Question 523587: Convert to logarithmic equation.
5^-3 = 1/125
Click here to see answer by stanbon(57395)

Question 523624: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
Click here to see answer by Alan3354(30993)

Question 523624: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
Click here to see answer by stanbon(57395)

Question 523801: 1/2 log (x)-log(1000)=3
Click here to see answer by edjones(7569)

Question 524071: Use the properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. the problem: log base 8 (x+5)+1/3 log base 8x
Click here to see answer by stanbon(57395)

Question 524227: lnx^lnx=4 for x?
Click here to see answer by bucky(2189)

Question 524329: log_2(2m+4)+log_2(m-1)=3
Click here to see answer by nerdybill(6963)

Question 524756: Rewriting e^4=y as a logarithmic fuction
Click here to see answer by stanbon(57395)

Question 524717: y=log(3)(x) for 1≤x≤243 graph it
Click here to see answer by lwsshak3(6522)

Question 524569: Solve for x. Give exact answer. (using logarithm)
13*(1.5)^(x + 3) = 14
Click here to see answer by lwsshak3(6522)

Question 524370: ln(t/(t-2))=1
solve for t. give exact answer.
Click here to see answer by lwsshak3(6522)

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