Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 234094: solve for x:
59.2=42.5(1.64)^x
Click here to see answer by Alan3354(31538)

Question 234094: solve for x:
59.2=42.5(1.64)^x
Click here to see answer by eggsarecool(46)

Question 234382: My problem is log3x=5, im not sure what this is called but the "3" is the opposite of an exponent it is on the bottom and small. I do not understand how to solve this.
Thanks for your help
Click here to see answer by user_dude2008(1861)

Question 234463: log x^9=1/2
Click here to see answer by solver91311(17077)

Question 234499: how the log tables are constructed??
or
wat is the source of logarithm values?
Click here to see answer by Theo(3504)

Question 234573: how do you express log x (4yz) as a sum of logarithms?
Click here to see answer by nyc_function(2733)

Question 234573: how do you express log x (4yz) as a sum of logarithms?
Click here to see answer by stanbon(57984)

Question 234830: I need help with this I do not understand what I need to do.
Rewrite each equation in exponential form.
1)log6 36=2
2)log289 17=1/2
3)log14 1/196=-2
4)log3 81=4
Click here to see answer by Alan3354(31538)

Question 226908: Solve 4^x + ^1 = 13
Click here to see answer by Alan3354(31538)

Question 227794: I need to solve this problem
log5x/logx= 3
could you please help me solve this equation
thank you very much, viki
Click here to see answer by Alan3354(31538)

Question 234898: ln(3)-2ln(4)+ln(8)
Click here to see answer by nerdybill(7011)

Question 234917: Express as an equivalent expression, using the individual logarithms of w,x,y, and z

{log(baseb)w^2x}/{y^3z}
Click here to see answer by jsmallt9(3296)

Question 234877: the percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by:
A(t)=.29te^-4t (0<=t<=12)
(a) what is the percentage of alcohol in a person's bloodstream after 1/2 hour? 7hrs?
(b) How fast is the percentage of alcohol in a person's bloodstream changing after 1/2 hr? 7 hr?

Click here to see answer by Alan3354(31538)

Question 235044: Solve. include approximations to the nearest thousandth.
log(x-3) + logx = 1
Click here to see answer by solver91311(17077)

Question 235064: write each of the following as a single logarithm
a. 3In2+In (x^2)+2
answer 3In^2
b.1/2 loga 4-2 loga 5
answer loga4^1/2-log 5^2

can u please help me
Click here to see answer by stanbon(57984)

Question 235074: Find the solution of the exponential equation, correct to four decimal places. 1.00881^4x+12
Click here to see answer by Alan3354(31538)

Question 235043: Solve for x. Round to the nearest ten-thousandth
log (538x) = 3.631
Click here to see answer by Alan3354(31538)

Question 235145: The half-life of a certain radioactive substance is 15 years.
Suppose that at time t = 0, there are 29 g of the substance.
Then after t years, the number of grams of the substance remaining will be

How many grams of the substance will remain after 45 years?

Click here to see answer by ankor@dixie-net.com(15747)

Question 235434: help me find the approximation to the nearest ten-thousandth: e^-2pi
Click here to see answer by Alan3354(31538)

Question 235481: 4log4 6 - log 4 5, evaluate without a calcuator
Click here to see answer by stanbon(57984)

Question 235481: 4log4 6 - log 4 5, evaluate without a calcuator
Click here to see answer by solver91311(17077)

Question 235627: can u please explain the logarithm 3log2x-log2x=8? by the way the log has a base of 2. the book said that the answer was 8.1 but i dont understand how they got that. this is wat i did:
3log2x-log2x=8

and thats as far as i got
Click here to see answer by Alan3354(31538)

Question 235819: a loan of $12,000 is made at 14%interest compounded annually,after t years the amount due,A is given by the function A(t)=12,000(1.14)^t
find the doubling time.
Click here to see answer by rfer(12731)

Question 235823: expree as a difference of lagarithms
log8 1/2
Click here to see answer by jim_thompson5910(28717)

Question 236004: The problem says to solve the logarithmic equation:
5 + ln (8x) = 23 - 2 ln x
Click here to see answer by solver91311(17077)

Question 236050: The question says: Solve the Logarithmic equation:
2 log x - 2 = log(x-25)
Click here to see answer by stanbon(57984)

Question 236054: Express as a single logarithm.
1) 1/2log(base m)4 + log(base m)(1/5) - 2log(base m)√6
2) logx + 3logy - 1/2[logz]
Find the exact value using properties of exponents and logarithms. No decimal answers.
3) log(base 2)40 - log(base 2)(15/4) + log(base 2)12
Click here to see answer by nerdybill(7011)

Question 236067: When a bank compounds continuously, using the formula A = P e rt how do you set up the formula when it is given that P = 4000, e = is a constant that is equal to 2.7183, r = 7% or .07, t = 8 now how would you calculate A with continuous compounding.
Click here to see answer by scott8148(6628)

Question 236073: Write the expression as a rational number or as a single logarithm
log 2 + log 3 + log 4 =
Click here to see answer by scott8148(6628)

Question 236134: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt.
0
1 year
9 years
57 years
20 years

Click here to see answer by Alan3354(31538)

Question 236129: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.)
Use the exponential growth model P(t) = P0ekt.

___ 1 year
___ 9 years
___ 57 years
___ 20 years

Click here to see answer by Alan3354(31538)

Question 236324: Radioactive strontium 90Sr has been deposited in a large field by acid rain. If sufficient amounts make their way through the food chain to humans, bone cancer can result. It has been determined that the radioactivity level in the field is 1.7 times the save level S. 90Sr decyas according to the formula
A(t)=Aoe^-0.0239t
where Ao is the amount curretly in the field and t is the time in years. How many years will it take until the field is contaminated.
Click here to see answer by nerdybill(7011)

Question 236328: Rewrite as an equivalent exponential equation. Do not solve
log10^0.000001 = 6
Click here to see answer by Theo(3504)

Question 236394: This problem is a story problem using the formula listed below.
When interest is compounded continuously, the balance in an account after t years is given by "A=Pe^rt"
Where P is the initial investment and r is the interest rate.
Maya has deposited $600.00 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double.
Click here to see answer by stanbon(57984)

Question 236393: For this problem I must write the logarithmic equation in exponential form. For example the exponential form of "log5 25 = 2" is "5^2 = 25"

log125 25 = 2/3
Click here to see answer by Theo(3504)

Question 236392: For this problem I must write the logarithmic equation in exponential form. For example the exponential form of "log5 25 = 2" is "5^2 = 25"

log3 27 = 3
Click here to see answer by Earlsdon(6294)

Question 236461: Let a= log x, b = log y and c = log z
Write log (x^2 root y/z^3) in terms of a, b and c
Thanks
Click here to see answer by jim_thompson5910(28717)

Question 236508: Find the solution(s) of the equation?
log(x-1)-log(x+6)=log(x-2)-log(x+3)
Click here to see answer by user_dude2008(1861)

Question 236505: find the solution(s) of the equation?
log(x-1)-log(x+6)=log(x-2)-log(x-3)
Click here to see answer by Earlsdon(6294)

Question 236518: solve: 2^(x+1)=e^x
Click here to see answer by jim_thompson5910(28717)

Question 236520: Using properties of logarithms write 4log(xy)-3log(yz) as a single logarithm
Click here to see answer by user_dude2008(1861)

Question 236522: please help me solve this ((( 1/2ln(x+3)-lnx=0 )))
Click here to see answer by user_dude2008(1861)

Question 236615: express as a single logarithm.
I looked in my notes and got as far as :
but i don't know what to do with the and i am not sure if what i have so far is right because in the notes it says be careful because has a different domain than . please help.
Click here to see answer by stanbon(57984)

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, 10891..10935, 10936..10980, 10981..11025