# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 202923: Write as a single logarith,and, if possible, simplify: log(a)(a/sqrt(x)-log(a)(sqrt(ax)) Click here to see answer by jsmallt9(3296)

 Question 202963: Find (f o g)(x), where f(x)=sqrt(x) and g(x)=1/x Click here to see answer by solver91311(16897)

 Question 202962: Explain how to get the graph of the function f(x)=e^(x-2) +3 from the graph of the function g(x)=e^x Click here to see answer by jsmallt9(3296)

 Question 203466: Write expression as sum/difference of logarithms. Express as powers of factors: log (sub 2) (a^2 square root of b)^4, a>0, b>0. I got this far: log sub 2 a^8 + log sub 2 (square root of b)^4 but I'm not even so sure about that. Can you pls show me how to finish? THanks! Click here to see answer by jsmallt9(3296)

 Question 203739: A certain strain on bacteria divides every three hours. If a colony is started with 30 bacteria, then the time(t, in hours) required for the colony to groww to N bacteria is given by the following formula. Find the time required for the colony to grow to a million bacteria.(Give your answer to the nearest tenth) t= 3(log(n/30))/log 2 Click here to see answer by ankor@dixie-net.com(15656)

 Question 203783: ok. i have never understood logarithmic equations do u mind helping? 4log(1-5x)= 2 i remeber having to do somthing like puting a 4 after log and it cancels and moves to the 2... something like that... can u show me the steps on how to solve logarithms :-] Click here to see answer by stanbon(57361)
 Question 203783: ok. i have never understood logarithmic equations do u mind helping? 4log(1-5x)= 2 i remeber having to do somthing like puting a 4 after log and it cancels and moves to the 2... something like that... can u show me the steps on how to solve logarithms :-] Click here to see answer by nerdybill(6962)
 Question 203783: ok. i have never understood logarithmic equations do u mind helping? 4log(1-5x)= 2 i remeber having to do somthing like puting a 4 after log and it cancels and moves to the 2... something like that... can u show me the steps on how to solve logarithms :-] Click here to see answer by RAY100(1637)

 Question 203804: How do I solve log(2x + 1) – log(x + 4) =0 ? Click here to see answer by Earlsdon(6287)

 Question 203882: how do you find the variable in the function log x 8=1/3 Click here to see answer by jsmallt9(3296)

 Question 203966: Okay so I have been trying to solve this answer from my homework packet but i just dont remeber how to do it..If log(x+2)/log3-log(x-2)\log3=2, then what is x? HELP!! Click here to see answer by stanbon(57361)

 Question 203961: Hi all, I was hoping to get some help with the following log problem: I need to evaluate the following using logarithmic rules: log(2) 4 - log(2) 2 + log(2) 1. (The 2's in the brackets after log means the number is in place below it, I was unsure of how to show this correctly when typing out the equation.) Thanks everyone, -Nick. Click here to see answer by stanbon(57361)

 Question 204023: Using a table of logarithms...how do I find the value of (.68)to the fifth meaning (.68)exponent 5 ? Click here to see answer by RAY100(1637)
 Question 204023: Using a table of logarithms...how do I find the value of (.68)to the fifth meaning (.68)exponent 5 ? Click here to see answer by jsmallt9(3296)

 Question 204257: Hey I have been having a hard time with the log's here's my three questions, 1. Solve for x; log(5-2x)-log(x-1). Can you also work it out thanks 2. Solve for x; log (x+1)-log(x-1). 3. Log e^x^2=25 Click here to see answer by stanbon(57361)

 Question 204300: e^xlnx how do I simplify this. thank you Click here to see answer by stanbon(57361)

 Question 204328: What are the asymptotes of the functions "f(x)=4^x" and "g(x)=log5x"? Click here to see answer by stanbon(57361)

 Question 204331: Where on a graph would I put the sorresponding function for y=4^x and y=log4x. Click here to see answer by stanbon(57361)

 Question 204455: Can someone help me with this, I am having a difficult time understanding how to plot the graph of this function. f(x)=5^x Click here to see answer by Alan3354(30993)

 Question 204490: log(subscript 5)x = 2*log(subscript 5)3 I know the answer is 9 but I can't figure out how they got it. Please e-mail with the work shown so I can learn how to solve this type of problem. Click here to see answer by alicealc(281)

 Question 204536: I have been having a really hard problem with these logs 1. Log base 8 X=1/3 2. Log e^x^2=125 3. Solve for X: Log(5-2x)=log (3x+1) 4. Solve for X: Log(x+1)-Log(x-1)=1 Click here to see answer by alicealc(281)
 Question 204536: I have been having a really hard problem with these logs 1. Log base 8 X=1/3 2. Log e^x^2=125 3. Solve for X: Log(5-2x)=log (3x+1) 4. Solve for X: Log(x+1)-Log(x-1)=1 Click here to see answer by nerdybill(6962)

 Question 204701: what is the order of magnitude for the following expression? 2log2 n+4n+3nlog2n Click here to see answer by stanbon(57361)

 Question 204854: Can someone help me with this problem, how do I plot the graph of the function f(x)=log subscript5 x Click here to see answer by stanbon(57361)

 Question 204856: The approximate value of log F is 1.164366, and corresponding value of F is 14.6004" (degrees).My question is:if approximate value is 1.161532 what is corresponding value in degrees. thank you! Click here to see answer by lazi(15)

 Question 204860: Could someone give me an example of an exponential function and convert it to a logarithmic function, showing how to graph both functions? Click here to see answer by rfer(12662)

 Question 205138: Please help me simplify the following: and p.s. the -3/2 and -1/2 in the equation above are exponents. meaning: x(1-2x) raised to the negative 3/2 Click here to see answer by Edwin McCravy(8909)

 Question 205180: Can someone please help me with this problem, I'm having a hard time understanding. For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. Include a table of values for all four functions. Click here to see answer by stanbon(57361)

 Question 205183: Do you know where i can find some narrated cd demos for intermediate algebra? Click here to see answer by rfer(12662)

 Question 205210: Solve for x using logs 10^(x+3)=5E^(7-x) 9^x=2e^x2 pls help Click here to see answer by ankor@dixie-net.com(15656)

 Question 205307: I am having a difficult time solving this problem from the textbook. If b and y are positive real numbers such that log(b)y = 2, what is log(b^2)y? Justify your answer. Click here to see answer by stanbon(57361)

 Question 205421: How do I find the x and y coordinates of y=logx and y=log(0.5x)? so far I know that (1,0) is the x-intercept of y=logx and (2,0) is the x-intercept of y=log(0.5x). Click here to see answer by Earlsdon(6287)

 Question 205360: Can someone show me how to evaluate the values of x giving as 1,2,4,8 and 16 for the equation f(x)=logx Can someone show me how to work this problem for one of the values so that I can continue with the remaining values for x. Thank you. Click here to see answer by Alan3354(30993)

 Question 205449: I'm having trouble with sovling the log equations. i have two questions. 3^(1-2x)=e^(0.5x). and log(x+1)+ log(x-1)=log(3) i know that you start off by taking the natural log of both sides but after that i'm stuck. i don't know which logarithm property to you. your help is much appreciated Click here to see answer by Alan3354(30993)

 Question 205450: If the world population is now (in 2009) 6.72 billion people and is growing at 1.14%, how long will it take the population to grow to 10 billion people? I always get confused with these problems but would to equation to solve the problem look something like 10 billion=6.72(1.14)? Click here to see answer by rapaljer(4667)

 Question 205455: If the world population is now(in 2009( 6.72 billion people and is growing at 1.14%, how long will it take the population to grown 10 billion people? Click here to see answer by rapaljer(4667)

 Question 205453: If the world population is now(in 2009( 6.72 billion people and is growing at 1.14%, how long will it take the population to grown 10 billion people? Click here to see answer by rapaljer(4667)

 Question 205650: Assume x>0 and 3x-1>0. Rewrite the following expression as a single logarithm. 2ln(x)-(1/2)ln((9x^2)-1)+ (1/2)ln (3x+1) Click here to see answer by Edwin McCravy(8909)

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