Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

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 203035: Find the inverse of f(x)=x^3 + 2
Click here to see answer by RAY100(1637)

Question 203034: Solve: 29=3e^2x
Click here to see answer by nerdybill(6962)

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 203753: write 0.00017 in scientific notation
Click here to see answer by rfer(12662)

Question 203753: write 0.00017 in scientific notation
Click here to see answer by MathTherapy(1425)

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 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 204364: if log 3 90=x, then x=?
Click here to see answer by RAY100(1637)

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 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 205257: need the solution to following
3logx=6
Click here to see answer by Earlsdon(6287)

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 205341: what is log x+4
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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