# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 118700: what is the value of x when the equation is log5+logx=2? Click here to see answer by m.hansen(16)
 Question 118700: what is the value of x when the equation is log5+logx=2? Click here to see answer by Earlsdon(6287)

 Question 118887: solve for x: log base 4(x^2+3x)=1+log base 4(x=5) Click here to see answer by solver91311(16868)

 Question 119247: Solve for x log10 (5-x) = 3 log10 2 Click here to see answer by stanbon(57242)
 Question 119247: Solve for x log10 (5-x) = 3 log10 2 Click here to see answer by bucky(2189)

 Question 119445: it says solve for x 3^x=4^x how do i solve? Click here to see answer by stanbon(57242)

 Question 119567: can you please explain this to me step by step so i can understand it. log(3-2x) - log (x+9)=0 i hope you can help me understand this thank you julie Click here to see answer by jim_thompson5910(28503)
 Question 119567: can you please explain this to me step by step so i can understand it. log(3-2x) - log (x+9)=0 i hope you can help me understand this thank you julie Click here to see answer by MaxLiebling(13)

 Question 119762: Hi, I hope you please can help me with this one; I have found this equation from a graph I created: y = 50,88e^-0,01x I already know that y = 50, so I have to find the x. I know I have to divide/multiply with ln or something like that, but I can't come any further on my own. I would really appriciate your help! Click here to see answer by ankor@dixie-net.com(15634)

 Question 119841: can you please help me with this problem? perform the multiplications. assume that all variable are positive. Y^1/3(Y^2/3 + Y^5/3) can you show me step by step because i am trying to understand this and so far it is not good. thank you julie Click here to see answer by jim_thompson5910(28503)

 Question 121194: I have this problem to do in my math end of term exam revision. I do not understand how to work it. The problem is: in what year is the baseball card worth 20\$? and the equation is: V(T)= 4.75(1.12)^t ...t=0 is year 1980. Do I try different years for the fun of it or is there a way to calculate it? Thanks for the help! Click here to see answer by stanbon(57242)

 Question 121251: log((0.53)/x^2))=((-4.86)/(1.98)(10^-3))((1/200)-(1/400)) I havent done this type of math in a really long time and was never particularly good at logs. This problem was part of a math review given to me in my chemistry class. It would be great if someone could give me a step by step explanation so that I could use that as an example to solve other similar problems. Thanks! Click here to see answer by Edwin McCravy(8882)

 Question 121279: Hello, I'm working on some problems for my chemistry II homework and am a little rusty on this type of math. The problem is... ((1.8)(10^-3))/((4.5)(10^-4))^x = ((6.4)(10^-1))/((1.4)(10^-2)) (the entire left side of the equation is raised to the x power, just in case it isnt clear the way its written out) I solved the problem up to 4^x=45.7, but can't remember how exactly to finish it from there concerning what to type into my calculator or what format to write the problem in to solve it by hand from this point. I'd appreciate any help anyone can offer, thanks! Click here to see answer by stanbon(57242)

 Question 121237: Could someone please show me how to solve this problem x=e^-7.85 my teacher saids the answer is 3.90*10^-4 I can't figure out how she came up with that answer. By the way the -7.85 and the -4 are exponents, I couldn't get them to show up right. Thanks for helping. Click here to see answer by ankor@dixie-net.com(15634)

 Question 121281: Hi, Could someone please show me solve this type of problem? Log(120)= -100/12*(1/20 - 1/x) I need to find x Thank you Click here to see answer by stanbon(57242)

 Question 123112: find the value of x in steps for : Click here to see answer by Edwin McCravy(8882)

 Question 123229: Solve the following: loga (1/27)=-3. a is the small number next to log. Click here to see answer by ilana(307)

 Question 123227: Solve: logb 36=-2. b is the small number next to log. Click here to see answer by scott8148(6628)

 Question 124290: I need \$1000 dollars for my holidays in 12 months time. I have an instrument yielding 10% interest compounded monthly. How much do I need to invest? A \$670 B \$1100 C \$900 D \$905 E \$500 F \$890 I'm not sure where to start,any help would be very much appriciated. I would like to see the steps and the correct answer so I'm able to answer these types of word problems in the future. Thank you so much for your time. Click here to see answer by josmiceli(9657)

 Question 124288: Two crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine how many bacteria will be present after 100 days. A 100 B 800 C 0 D 2 E 109 F 345 I'm really stuck on this problem because I'm not sure where to start. I would really apprciate it if someone could walk me through the steps to get to the correct answer,thank you in advance for your time. Click here to see answer by stanbon(57242)

 Question 124316: I'm really stuck on this problem because I'm not sure where to start. I would really apprciate it if someone could walk me through the steps to get to the correct answer,thank you in advance for your time.: Two crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine how many bacteria will be present after 100 days. A 100 B 800 C 0 D 2 E 109 F 345 Answer by stanbon(13458) --------------------------- Day 1: 2 Day 2: 2+0.04*2=2(1+0.04)= 2*1.04 Day 3 = (2*1.04)+0.4*(2*1.04) = 2*1.04(1+0.04) = 2*(1.04)^2 .... ... Day 100 = 2*1.04^99 = 97 --------------- Cheers, Stan H. *** Thank you so much for your responce,and although I follow the steps that you took,you came to an answer of 97. And thats not one of the choices,am I missing something? If anyone could help id very much appriciate it. Click here to see answer by scott8148(6628)

 Question 124332: Certain bunny rabbits reproduce at a continuous rate of 200% a year. Assuming that a warren starts with 10 bunny rabbits calculate the number of rabbits after 3 years (assume none of the bunny rabbits meet with misadventure). A 6072 B 4034 C 32 D 561 E 23 F 123 I requested help for another problem similar to this,and i tried to plug in the right numbers in the right places,but I keep coming up with numbers that arent choices. Any help would be greatly appricaited. Thank you for your time. Click here to see answer by scott8148(6628)

 Question 124444: log6 (3) + log5 (2) is equivalent to A 0 B ln(2) * ln (6) C 1 / ln(6) D ln(2) / ln (9) E 9 F [ln(5)*ln(3)) + ln(2)*ln(6))]/ [ln(5)*ln(6)] I have no idea where to start with this one. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by rapaljer(4667)

 Question 124443: Solve log6(3.5) + log6(2) A 1.09 B 1.32 C 1.43 D 1.45 E 6.32 F 7.09 I tried what I thought was the correct way of solving this,but i came to an answer which isnt a choice,so im not sure what to try. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by ankor@dixie-net.com(15634)
 Question 124443: Solve log6(3.5) + log6(2) A 1.09 B 1.32 C 1.43 D 1.45 E 6.32 F 7.09 I tried what I thought was the correct way of solving this,but i came to an answer which isnt a choice,so im not sure what to try. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by bucky(2189)

 Question 124441: Solve log6 (7) A 6.00 B 0.87 C 1.19 D 2.10 E 1.09 F 2.17 I tried what I thought was the correct way of solving this,but i came to an answer of 1.087,which isnt a choice,so im not sure what to do. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by rapaljer(4667)
 Question 124441: Solve log6 (7) A 6.00 B 0.87 C 1.19 D 2.10 E 1.09 F 2.17 I tried what I thought was the correct way of solving this,but i came to an answer of 1.087,which isnt a choice,so im not sure what to do. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by josmiceli(9657)

 Question 124442: Use the change of base formula to solve log10 (e) A 0.891 B 1.458 C 0.434 D 1.653 E 0.422 F 0.123 I tried what I thought was the correct way of solving this,but i came to an answer which isnt a choice,so im not sure what to try. If someone could show me the steps to come to the correct answer it would be very much appriciated. Thank you very much for your time! Click here to see answer by bucky(2189)

 Question 125792: I don't know how to type something for exponent don't know how to type it because i have some things like 10 exponent 1-2lg10 (note 1-2lg10 is the exponent) Click here to see answer by ankor@dixie-net.com(15634)

 Question 125785: what is the unit digit in (2657)^2004 ? Click here to see answer by checkley71(8403)

 Question 126232: Express this as a single logarithm: 1) log(x2-4)- 2 log(x+2) ( the first 2 is squared) Click here to see answer by uma(370)

 Question 126233: Express this as a single logarithm: 1) log(x2-4)- 2 log(x+2) ( the first 2 is squared) Click here to see answer by josmiceli(9657)

 Question 126339: My sister needs help with this equation and since I am the big sister that knows all, I need help with it... log(x^2-2)+2log6=log6x the "logs" are all base b, if that makes a difference... Thanks much Click here to see answer by ankor@dixie-net.com(15634)

 Question 126365: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) 10^t," where t is the elapsed time in minutes. How would you apply logarihm to determine when the sample will grow to 5 billion viruses? Click here to see answer by stanbon(57242)

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