Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 354490: Expand as much as possible into individual logarithms:
log2 {(sqrt(x)(x-5))/y^3}

Thank you for your help! I appreciate that!

Click here to see answer by jsmallt9(3296)

Question 354610: Please help me solve this equation:
Thank you very much in advance.
Click here to see answer by Alan3354(31528)

Question 354539: how to solve for x: 3times 7^x-1=5^2x+1
Click here to see answer by jsmallt9(3296)

Question 354654: Find the exact solution, using common logarithms.
4^x+64(4^-x)=20
Click here to see answer by jsmallt9(3296)

Question 354689: write expression as the logarithm of one quantiy log base b(x)+log base b(x+2)-log base b(8)
Click here to see answer by stanbon(57967)

Question 354689: write expression as the logarithm of one quantiy log base b(x)+log base b(x+2)-log base b(8)
Click here to see answer by ewatrrr(10682)

Question 354709: solve for x... logx125=-3
Click here to see answer by Alan3354(31528)

Question 354863: Hi! I have a question about logarithms. How do you express log 2 using log 5?
For example, the other question was express log 1/25 in log 5, so I said:
log 1/25 = log (5)^-2 = -2log5
I don't know how to apply this to log 2, though. Thanks for your help!
Click here to see answer by stanbon(57967)

Question 354826: I need help, step by step on how to solve ln (x +7) + ln (x + 3) = ln 77
Click here to see answer by Fombitz(13828)

Question 354888: how do you solve the following problem?
4 - x^2(lnx) = 0
Click here to see answer by stanbon(57967)

Question 355053: Exercise:
The value of (log π, e)
Answer with three decimal places

Thank Youu very mucho for your time!
Click here to see answer by jim_thompson5910(28715)

Question 355059: Solve for x:
5^(x+3) = 8^(2x-1)
Click here to see answer by robertb(4012)

Question 355120: If log10x=3, then x=?
Click here to see answer by ewatrrr(10682)

Question 355025: log1/2^1/9=log2^(x^2)
Click here to see answer by Fombitz(13828)

Question 355088: what are the log values of these numbers. 13, 12, 17, 12, 5, 1
Click here to see answer by Fombitz(13828)

Question 355222: can you help me express this as a single log: log(b)16-log(b)5-log(b)2

Click here to see answer by Fombitz(13828)

Question 355222: can you help me express this as a single log: log(b)16-log(b)5-log(b)2

Click here to see answer by Alan3354(31528)

Question 354710: solve for x.... logx64=-6
Click here to see answer by jsmallt9(3296)

Question 355302: Help solve:

Click here to see answer by Fombitz(13828)

Question 355329: Solve

Click here to see answer by edjones(7569)

Question 355329: Solve

Click here to see answer by ewatrrr(10682)

Question 355331: Solve:

Click here to see answer by Alan3354(31528)

Question 355649: Write a logarithmic equation with base 5 that is equivalent to the equation
f (t) = 2t.
Click here to see answer by Theo(3504)

Question 355649: Write a logarithmic equation with base 5 that is equivalent to the equation
f (t) = 2t.
Click here to see answer by jrfrunner(365)

Question 355772: Will you please show me how to solve this problem:
Solve log 1/100= log(10^x+2)
Click here to see answer by ewatrrr(10682)

Question 356135: Recall that a formula bank account earning compound interest is
A=P(1+r/m)^mt - given
where A is the amount in the bak account after t years, r is the interest rate, and m is the number of the compounding periods per year. If you put $5000 in an account earning 5% interest compounded quarterly,
im
A) how much money will be in the account after 4 years?
I figured this part out... I got $6,099.45.
B) How long will it take until the account is worth $10,000?
I got the equation set up... 10,000=5000(1+.05/4)^4t however not sure what to do next.
Click here to see answer by solver91311(17077)

Question 356081: g(X)=3-5e^2X
Click here to see answer by Fombitz(13828)

Question 356163: Solve the equation 2^X=3^4-x. Write your solution exactly in terms of logarithms. Do not give a decimal approximation.
Click here to see answer by Edwin McCravy(8999)

Question 356236: 4^3x-2^3x= 20 what is the value of x
Click here to see answer by Fombitz(13828)

Question 356237: log3(x-3)-2+log3(x+5)=0
What is the value of X?
Click here to see answer by Alan3354(31528)

Question 356327: Find an equation for the linear function satisfying the condition that the graph of its inverse function is perpendicular to the line 4x+ 2y-3
Click here to see answer by ewatrrr(10682)

Question 356352: Find an equation for the linear function satisfying the condition that the graph of its inverse function is perpendicular to the line 4x+ 2y-3 passing through the point (-1,1)
Click here to see answer by ewatrrr(10682)

Question 356432: Can you help me please?
Graph:
(x^2-2x-4)/(2x^2+x-3)=x

Thank you!
Click here to see answer by Fombitz(13828)

Question 356435: Would you help me? Thank you!
Logarithm
Write the inverse for the function of y+2=4^(x-1) in the form y=.

Click here to see answer by Fombitz(13828)

Question 356435: Would you help me? Thank you!
Logarithm
Write the inverse for the function of y+2=4^(x-1) in the form y=.

Click here to see answer by stanbon(57967)

Question 356443: Can you help me with this exercise, please?
If $5000 is deposited today, at 6% compounded semi-annually, how much money will this account contain after five years? (Asume no further deposits or withdrawals have been made during the five-year period).

Thank You!
Click here to see answer by Fombitz(13828)

Question 356441: Logarithm
Describe the difference between the graph of f(x) = log x^2 and g(x) = 2 log x
Thank you for your help!
Click here to see answer by Fombitz(13828)

Question 356440: Thank you for your help!
Sketch each function. State the domain, range, values of intercepts, and equations of any asymptotes that exist.
g(x)= 2(e^x) - 2
I appreciate your time!
Click here to see answer by stanbon(57967)

Question 356460: Can you help me, please?
Logarithm
One solution is 250 times more acidic than another one. The less acidic solution measures 4.7 on the pH scale. What would be the pH of the more acidic solution.
Click here to see answer by Fombitz(13828)

Question 356444: Thank you for helping me out.

Logarithm - EXERCISE:
There are 60 wolves in a certain location. Each year there are 8.5% more wolves than in the previous year. Use the population formula for continuous growth (P=P0,e^(rt)) to determine:
a)How many wolves are in the population after 6 3/4 years?
Answer to nearest whole number.
b)How long will it take the population to double
(to the closest whole number of years)?
Click here to see answer by edjones(7569)

Question 356439: Thank you for your help!
Sketch each function. State the domain, range, values of intercepts, and equations of any asymptotes that exist.
f(x)= -log2,(x+2)+3
Click here to see answer by Fombitz(13828)

Question 356329: G(t)= (T^3+8)/(T^3-1)
1. Find G^-1(t)
2. What is the domain and range of G. in each case, show or explain how you determine you answer.
Thanks in advance
Click here to see answer by Fombitz(13828)

Question 356822: I don't understand how to solve this problem. How can you solve an equation with logarithms if the bases are different? On the left side of the equation, the base is two, while on the right side the base is five. By base I mean the "subset" or smaller number by log.
The equation is:
-=
Click here to see answer by scott8148(6628)

Question 357168: A piece of machinery valued at $250,000 depreciates at a fixed rate of 12% per year. After how many years will the value have depreciated to $100,000?
Click here to see answer by stanbon(57967)

Question 357575: how do you simplify 5 log(x+5)-3 log(x-3)+2logx?
I come to x^2(x^5+3125)/x^3-27
Click here to see answer by jsmallt9(3296)

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