Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 23195: Please help me solve this equation: .
Thanks~
Click here to see answer by dkspoet(13)

Question 23218: The population of Canada is 30 million people and is growing at an annual rate of 1.4%.
The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%.
In how many years will the population of Canada be equal to the population of Germany?
(Use logarithms to solve the resulting equation and answer accurate to 2 decimal places.)
Click here to see answer by rapaljer(4667)

Question 23223: Solve algebraically using logarithms:
2^x = 5^(x+1)

Click here to see answer by stanbon(57361)

Question 20998: The ln of e^2y = 2y... So does ln e^3x = 3x? I am just curious...thanx :)
Click here to see answer by rapaljer(4667)

Question 21228: log(5+x) - log(x-5)= log3
Click here to see answer by rapaljer(4667)

Question 20954: What values of X cannot possibly be solutions of the following equation:
log a (3x+1)=2

(note: the "a" is suppossed to be the base of the logarithm)
I can not find this in the book.
Click here to see answer by venugopalramana(3286)

Question 20958: Solve using properties of logarithms:
log2 (x+1)- log2 x = log2 5
note- the numbers directly following "log" are suppossed to be the spaces. I do not know how to type them to be small and at the bottom
Click here to see answer by venugopalramana(3286)

Question 23360: What is the best solution for 2.3^x = 48
Click here to see answer by rapaljer(4667)

Question 23372: My assignment was to figure out the formula for measuring sound, and to pick a specific sound, and give the decibels of the sound and explain what this measurement means. I don't even know how to begin.

Click here to see answer by stanbon(57361)

Question 23402: If a bank compouundsinterest annually (once each year), then the amount of money, A, in a bank account is determined by the formula A=p(1=r)^2. Here P= the principal, or the amount invested, r= the rate of interst, and x= the number of years involved. If $100 is invested at 6% intesrest compunted annually, the amount, A, in the account is found by using the formula A= $100(1.06)^x. Find the amount of money in this account at the end of:
a. 1 year
b. 2 years
c. 3 years
4. 4 years
Click here to see answer by stanbon(57361)

Question 21774: solve : log(x+1)=log2
Click here to see answer by rapaljer(4667)

Question 20957: Use properties of logarithms to solve equation. Express answers to three decimal places.
12. log5 (m-9)=3
(note: 5 is the base of the logarithm)
Click here to see answer by rapaljer(4667)

Question 23909: 64^x=1/2 and x^4/3=625
Click here to see answer by AnlytcPhil(1277)

Question 23922: let log b A=2.758 and log b B=0.176
Find log b AB
Click here to see answer by AnlytcPhil(1277)

Question 23942: I am trying to simplify ln(1/x + x).
or ln {(1+x^2)/x}
or ln(1+x^2)-ln(x).
Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2).
Thanks.
Click here to see answer by AnlytcPhil(1277)

Question 24003: Find the domain of the function
f(x) = log10 (x^-8x+15)
Click here to see answer by venugopalramana(3286)

Question 24059: PLEASE HELP ME SOLVE THIS PROBLEM.
Logbase3(1+x)>(1-Logbasex(1-x))Logbase3x.
Thank You
Click here to see answer by kev82(148)

Question 24227: 2 loga X + loga 2 = loga (5x+3)
I thought:
X^2 + 2 = 5X+3
X^2 -5X - 1 = 0
The answer is suppose to be 3. I don't understand how to get there since it doesn't factor.
Click here to see answer by venugopalramana(3286)

Question 24375: I have the problem: log[base:2]x(x-4)=5. I took the net step by saying log[base:2]^2-4x=5. Would that be the correct step? I tried following the example on the home page, but I didn't understand it all. Mostly, I didn't see how (2*X^2)=5x+3. I think that's what it was. I don't know if what I'm learing is as advabced as that, I'm only in Integrated 3. But if you could please help me solve the prolem, (step by step is the best) and answer my question about the example, that would be great. thanks.
-Shaylan G.
P.S. How soon will I be emailed? My homework is due tomorrow, and I have a lot of those kind of problems which I don't understand.
Click here to see answer by kev82(148)

Question 24765: I need to know an alternate way of expressing a logarithm
log m = log a + 3 log l
Click here to see answer by longjonsilver(2297)

Question 24783: how do you solve for x:
log(5x)=10, when the base is 2
Click here to see answer by josmiceli(9681)

Question 24954: differentiating with respect to x a logarthimic terms which is not in base 10.

Click here to see answer by stanbon(57361)

Question 24985: 10x-1/5-2x/3=3 solve for x :(
Click here to see answer by stanbon(57361)

Question 25133: 10xsuared-2x-4=0
How do i work that out
Click here to see answer by Earlsdon(6287)

Question 25276: how do I solve
ln(15y-10)-ln(1-y)=ln(x-2)+ln(5-x)
Click here to see answer by stanbon(57361)

Question 25272: the arithmetic series of numbers 1,3,5,7,9,......find the difference between any 2 terms.
using the formula for nth term what is the 101 term
what is the sum of the first 20 terms.
use the geometric series 1,2,4,8,16.find the ratio between 2 terms.
with the formula for nth of the geo series what is the 24th term.
Click here to see answer by venugopalramana(3286)

Question 25356: condense 6lnx-1-ln3. i got ln(x^6/3), but the answer says ln(x^6/3e). where did the e come from? thanks
Click here to see answer by venugopalramana(3286)

Question 25357: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks
Click here to see answer by venugopalramana(3286)

Question 25352: hi
i need help with the equation 10^(4log10^3). it asks me to evaluate it, and the anwer is 81. but when i did it i set it = to x, and got 10^x=log10^12.then i got 10^10X=log10^12, in which x=12. Please help me today because i have a test tomorrow! Thanks
Click here to see answer by venugopalramana(3286)

Question 25551: using formula log(b) a= log a/log b
find log 2 10000
Click here to see answer by rapaljer(4667)

Question 25581: i need some help please any one.using the geometric series of numbers 1,1/2,1/4,1/8 what is the ratio between 2 terms,and what would the 10th term be.
if on a checker board pennies were placed on all squareseg.1 on first square 2on 2nd. 4 on 3rd.how much would have to be placed on the 32nd.square.thanks in advance for your help.
Click here to see answer by longjonsilver(2297)

Question 24553: How would i solve this natural log in this equation: ln(x+1)=ln(3x+1)-ln(x)...thanks
Click here to see answer by venugopalramana(3286)

Question 26117: I need to know how to evaluate: log base 3 of 1/9. Step By Step Please
Click here to see answer by mathrebel(25)

Question 26121: Can u show me how to evaluate: log base 81 of 9
Click here to see answer by mathrebel(25)

Question 26122: I need to know how to evaluate: Log base 81 of 9. Step by Step PLease
Click here to see answer by mathrebel(25)

Question 26127: I need to know how to solve for x In this equation: Log base x of 8/27=-3 Step by Step Please. Thanks
Click here to see answer by stanbon(57361)

Question 20619: Here is my question:
1-logx = log(3x-1)
I started with:
1 - logx = log3x - log
1 = log4x - log
The answer is 2, but I don't know where to go from here!
Can anyone help?
Thanks!
Sandy
Click here to see answer by stanbon(57361)

Question 26295: PLEASE HELP!!!
If (log base 3 of x)(log base x of 2x)(log base 2x of y) = log base x of x2, find the value of y.
Thanks in advance.
Click here to see answer by stanbon(57361)

Question 26258: Find two consecutive odd integers whose sum is 96
Click here to see answer by elima(1433)

Question 26262: Find three consecutive integers whose sum is -33
Click here to see answer by elima(1433)

Question 26275: Can you please help me graph a log: y=log base 2 of x. Thanks
Click here to see answer by venugopalramana(3286)

Question 26344: If y = 9, find the integral values of x and z that satisfy all of the following equations:
z^x = y^2x
2^z = (2)(4^x)
x+y+z = 16
I'd really appreciate the help! Thanks in advance.
Click here to see answer by longjonsilver(2297)

Question 26261: Find four consecutive integers whose sum is 86
Click here to see answer by uknouluvme89(30)

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