Questions on Algebra: Logarithm answered by real tutors!

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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))
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Question 202963: Find (f o g)(x), where f(x)=sqrt(x) and g(x)=1/x
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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
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Question 203035: Find the inverse of f(x)=x^3 + 2
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Question 203034: Solve: 29=3e^2x
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Question 203466This question is from textbook Sullivan College Algebra
: 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!
This question is from textbook Sullivan College Algebra

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Question 203753: write 0.00017 in scientific notation
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Question 203753: write 0.00017 in scientific notation
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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(6691) About Me 

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(26259) About Me 
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(2446) About Me 
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) About Me 

Question 203804: How do I solve log(2x + 1) – log(x + 4) =0 ?
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Question 203882: how do you find the variable in the function
log x 8=1/3

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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!!
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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.

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Question 204023: Using a table of logarithms...how do I find the value of
(.68)to the fifth meaning (.68)exponent 5 ?

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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(590) About Me 

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

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Question 204300: e^xlnx how do I simplify this. thank you
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Question 204328: What are the asymptotes of the functions "f(x)=4^x" and "g(x)=log5x"?
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Question 204331: Where on a graph would I put the sorresponding function for y=4^x and y=log4x.
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Question 204364: if log 3 90=x, then x=?
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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

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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(98) About Me 

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

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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(2446) About Me 

Question 204701: what is the order of magnitude for the following expression?
2log2 n+4n+3nlog2n

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Question 204854: Can someone help me with this problem, how do I plot the graph of the function f(x)=log subscript5 x
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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!
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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(2688) About Me 

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(2920) About Me 

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.
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Question 205183: Do you know where i can find some narrated cd demos for intermediate algebra?
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Question 205257: need the solution to following
3logx=6

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Question 205210: Solve for x using logs 10^(x+3)=5E^(7-x)

9^x=2e^x2

pls help

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Question 205307This question is from textbook
: 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.
This question is from textbook

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Question 205341: what is log x+4
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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(4898) About Me 

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(6059) About Me 

Question 205449This question is from textbook Functions modeling Change
: 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 appreciatedThis question is from textbook Functions modeling Change

Click here to see answer by Alan3354(6059) About Me 

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(3610) About Me 

Question 205455This question is from textbook
: 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?This question is from textbook

Click here to see answer by rapaljer(3610) About Me 

Question 205453This question is from textbook
: 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?This question is from textbook

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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)

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