Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 385687: ln2+lnx=5
Click here to see answer by stanbon(57967) About Me 

Question 385685: ln(2x-1)=8
Click here to see answer by stanbon(57967) About Me 

Question 385774: Rewrite the expression as a single logarithm: log(3,5) + 5log(3,2)
Click here to see answer by stanbon(57967) About Me 

Question 385911: log2x=4
Click here to see answer by mananth(12270) About Me 

Question 385928: if b is 1.2 and t is 4. first make x the subject and work out its value in this equation
b = log4x - 2log t

Click here to see answer by stanbon(57967) About Me 

Question 386015: log(6) x + log (6) (x-5) =2
Click here to see answer by nerdybill(7008) About Me 

Question 386066: find the indicated composite for the pair functions,
(f0g)(x): f(x)=3x+7, g(x)=4x-1

Click here to see answer by stanbon(57967) About Me 

Question 386020: lnx + ln (x+3) = 1
Click here to see answer by nerdybill(7008) About Me 

Question 386072: indicate the domain: a(x)=(x+2)^-1
Click here to see answer by jsmallt9(3296) About Me 

Question 386173: log5 (1/125) = x
Click here to see answer by ewatrrr(10682) About Me 

Question 386237: logx (64) = 6
Click here to see answer by Jk22(389) About Me 

Question 386507: I am trying to figure out how to solve log5(x+1)-log5x=2 can you help
Click here to see answer by ewatrrr(10682) About Me 

Question 386648: What do you do when you have:
1/2Log(6)16X=3
[that is log, base 6)
if you are solving for X, do you bring the "16X" to the other side?
so it would be 1/2Log(6)6^3=16X
I don't know; I feel like I'm messing this up..

Click here to see answer by stanbon(57967) About Me 

Question 386461: How to solve for x: (exp x) - x = a
Click here to see answer by Fombitz(13828) About Me 

Question 386787: how do you solve this? please give step by step instructions. logx(2x-3)=1
Click here to see answer by stanbon(57967) About Me 

Question 386888: Please help! Solve lnx^2=ln(72-x)
equivalent
e^(lnx^2)=e^[ln(72-x)],because e^x is 1-1 function.
equivalent
x^2=72-x
equivalent
x^2+x-72=0
equivalent
x1=[-1+sqr(1+4*1*72)]/2 , x2=[-1-sqr(1+4*1*72)]/2
equivalent
x1=[-1+sqr(1+288)]/2, x2=[-1-sqr(1+288)]/2
equivalent
x1=(-1+17)/2 , x2=(-1-17)/2
equivalent
x1=16/2,x2=-18/2
equivalent
x1=8,x2=-9
.

Click here to see answer by robertb(4012) About Me 
Question 386888: Please help! Solve lnx^2=ln(72-x)
equivalent
e^(lnx^2)=e^[ln(72-x)],because e^x is 1-1 function.
equivalent
x^2=72-x
equivalent
x^2+x-72=0
equivalent
x1=[-1+sqr(1+4*1*72)]/2 , x2=[-1-sqr(1+4*1*72)]/2
equivalent
x1=[-1+sqr(1+288)]/2, x2=[-1-sqr(1+288)]/2
equivalent
x1=(-1+17)/2 , x2=(-1-17)/2
equivalent
x1=16/2,x2=-18/2
equivalent
x1=8,x2=-9
.

Click here to see answer by dnanos(83) About Me 

Question 386972: The number of bacteria is growing exponentially. If the number of bacteria rises from 100 to 350 in 6.5hours, how many bacteria will there be after 14 hours?
Please help!!

Click here to see answer by stanbon(57967) About Me 

Question 386968: log 81^x=1/4
Click here to see answer by stanbon(57967) About Me 
Question 386968: log 81^x=1/4
Click here to see answer by Alan3354(31532) About Me 

Question 386967: y=log 1/2^x
Click here to see answer by Fombitz(13828) About Me 

Question 387044: Solve for x: 16^x-5(8^x)=0
Thanks :)

Click here to see answer by stanbon(57967) About Me 

Question 387058: ln(x-5)+ln(x+1)=ln40
Click here to see answer by Fombitz(13828) About Me 

Question 387079: solve for x:
log x + log(x-1) = log(4x)

Click here to see answer by nerdybill(7008) About Me 

Question 387081: solve for t. write your answer to three decimal places.
2500 = 500 e^(.06t)

Click here to see answer by nerdybill(7008) About Me 

Question 387121: The debt is 322.3 billion and over 30 years the debt increased to 10.2% each year. What was the year when it costed $2,120?
Click here to see answer by stanbon(57967) About Me 

Question 387148: please help me with:
Write as a single log:
2log(4x) + log(x+5) - log(5-x)

Click here to see answer by scott8148(6628) About Me 

Question 387156: logx + log(x+2)=log3 to the nearest hundred
Click here to see answer by scott8148(6628) About Me 

Question 387285: How much must be invested at 8% interest compounded continuously if 20 years from now the value of the account is to be $100,000? Round your answer to the nearest highest dollar.
Click here to see answer by stanbon(57967) About Me 

Question 387286: Solve for x: a). +log%28+8%2C+x=2%2F3+%29+
b). +log%28+3%2C+x=-2+%29+

Click here to see answer by stanbon(57967) About Me 

Question 387299: Solve for x: log(x+1) + (log(x-1) = log8.
Click here to see answer by nerdybill(7008) About Me 

Question 387316: A population of bacteria grows according to A=5000e^(.025t) how long will it take for the population to double?
Thank you

Click here to see answer by richard1234(5390) About Me 

Question 387315: solve the following equation for X
10*2^(3x-2)=200
Round answer to the nearest tenth.
thanks in advance :)

Click here to see answer by edjones(7569) About Me 

Question 387340: For the function g:x |-> log(base 3)(x+2)-2
Find g^-1 (inverse). Explain how to verify your answer for g^-1.
Thank you :)

Click here to see answer by user_dude2008(1861) About Me 

Question 387347: If f(x)=5-x-x^2, find in simplest form:
2f(x)-f(-x)
Thank you :)

Click here to see answer by stanbon(57967) About Me 

Question 387351: 4. 8^(2/3)=4
5. 5^-2=1/
2
6. (1/2)^-3=8

Click here to see answer by stanbon(57967) About Me 

Question 387320: Use the exponential decay model A=Pe^(kt) to solve the following proublem.
The half-life of plutonium-238 is days. The initial amount is 100 grams.
a)find the value of K to four places.
b) write the formula for the amount of plutonium-238 present at the end of T days.
c)How much of the initial amount will remain after 30 days? Round the answer to the nearest tenth gram.
I know this seems like alot but I swear it's all one proublem just has Three parts to it, been having trouble, thank you sooo much in advance!!! :)

Click here to see answer by stanbon(57967) About Me 

Question 387363: Use the exponential decay model A=Pe^(kt) to solve the following proublem.
The half-life of plutonium-238 is days. The initial amount is 100 grams.
a)find the value of K to four places.
b) write the formula for the amount of plutonium-238 present at the end of T days.
c)How much of the initial amount will remain after 30 days? Round the answer to the nearest tenth gram.
I know this seems like alot but I swear it's all one proublem just has Three parts to it, been having trouble, thank you sooo much in advance!!! :)

Click here to see answer by stanbon(57967) About Me 

Question 387364: If $20,000 is invested at 4% compound semiannually, how much is present at the end of 15 years? Round your answer to the nearest lowest dollar.
Thanks in advance :)

Click here to see answer by stanbon(57967) About Me 

Question 387362: use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)]
Thank you in advance, I'M really having a hard time understanding...

Click here to see answer by stanbon(57967) About Me 
Question 387362: use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)]
Thank you in advance, I'M really having a hard time understanding...

Click here to see answer by Alan3354(31532) About Me 

Question 387311: Use the exponential decay model A=Pe^(kt) to solve the following proublem.
The half-life of plutonium-238 is days. The initial amount is 100 grams.
a)find the value of K to four places.
b) write the formula for the amount of plutonium-238 present at the end of T days.
c)How much of the initial amount will remain after 30 days? Round the answer to the nearest tenth gram.

I know this seems like alot but I swear it's all one proublem just has Three parts to it, been having trouble, thank you sooo much in advance!!! :)

Click here to see answer by nerdybill(7008) About Me 

Question 387373: why would logarithms give me extraneous solutions?
Click here to see answer by Edwin McCravy(8999) About Me 

Question 387442: what is x in this equation 2log(base 4)(2x)+log(base 4)(x-2)
Click here to see answer by stanbon(57967) About Me 

Question 387491: Use natural loarithms to solve the equation. Round to the nearest thoussandth.
Problem:
6e^4x -2 = 3
Choices:
(1) -o.448 (2) 0.327 (3) 0.067 (4) -0.046
How would you solve this? Thanks!

Click here to see answer by Alan3354(31532) About Me 

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