Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 7041: How can i write as sum, difference, or multiple of log:

I have tried so far: ln5x-⅓lnx²+1 Not sure if this is correct. Your help is greatly appreciated.
Click here to see answer by ichudov(404)

Question 7037: solve:
-2logbase4x=logbase49

3 logbase2 x=-logbase2 27

thank you!
Click here to see answer by ichudov(404)

Question 7040: solve the following equation:
logbase4(s^2-9)-logbase4(x+3)=3
logbase9 x + 3 logbase3 x =14
Thank you so much!!
Click here to see answer by longjonsilver(2297)

Question 7136: Hi, I'm having a tad bit difficulty trying to work out this: 2n log n = 10^9 (log to the base 10).
Now I know its probably easy to show but I can never get the right answer. Spent how long on it. Heres wat i thought. n log n = (10^9/2). thats how far i got. I tried using e, and ln and even did a square root. And it was incorrect. Please help it would be truely greatful.
Click here to see answer by khwang(438)

Question 7157: Find a value for X in he equation
2log10X+3 = log10X+log10 500
i'm assured the second line is
+log10 1000 = log10X+log10 500
How do you get that from above, i tried using my calculator but it kept giving me errors.
Click here to see answer by prince_abubu(198)

Question 7173: In the equation: 0.8 = 5^n, how do you solve for n?
So far I have this:
nth root(8) = nth root(5^n)
nth root(8) = 5
Where do I go from here?
Click here to see answer by Earlsdon(4898)

Question 7174: can you please help me
solve the equation logb9 = 2
Click here to see answer by prince_abubu(198)

Question 7714: Solve the equation ln(x + 5) – ln(3) = ln(x – 3).
Click here to see answer by ichudov(404)

Question 7526: The polynomial f(x) divided x – 3 results in a quotient of x2 + 3x – 5
with a remainder of 2. Find f(3).
Click here to see answer by pvrbrahmam(12)

Question 7953: Find the Value of the given expression. multiple choice. I know this is probly easy but cant get a understanding or find how to figure this out with my text.Thanks in Advance

Q:log AB^2
A. 2 log A log B
B. 2 log A + log B
C. log A + log B + log 2
D. log A + 2 log B
Click here to see answer by longjonsilver(2297)

Question 8059: Please tell me about the change of basis formula
Click here to see answer by longjonsilver(2297)

Question 8476: My question is solving 7 ln 9x = 49 , and expressing it in the term of e.If you could help me with this it would be greatly appreciated.
Click here to see answer by prince_abubu(198)

Question 8593: What is the slope of a binomial 2x+3
Click here to see answer by rapaljer(3610)

Question 8613: When we have an equation of logarithms how do we work to solve it?(is that the right way or not?)Write a methodology please...
for ex:
log3x + log(x+5) = log(X^2+4x)/X>0,X different from 0
Click here to see answer by rapaljer(3610)

Question 9403: Im not sure how to write the expression as the logarithm of a single quantity...
3(lnx-2ln(x^3-1))+4ln5......I got 3lnx-6lnx^3-6ln+4ln5
I also need help expanding the expression as the sum, difference and/or multiple of logarithms....
log 5y^3/x^2
Click here to see answer by longjonsilver(2297)

Question 10276: F(4)=450log3(5t+7) please solve help class in 3 hours cant solve
Click here to see answer by rapaljer(3610)

Question 10298: I want to solve the equation:
0.95 = exp(-a)+a*exp(-a) = exp(-a)*(1+a)
The first step I guess would be to take the natural log:
ln(0.95) = ln(1+a)-a
Please help!
Matt
Click here to see answer by mathmaven53(29)

Question 11020: Dear sir/ ma'am
What is the graph of: y-2=logx
Click here to see answer by longjonsilver(2297)

Question 11673: I need to simplify the following...
In(In e) + In(e^2)
Can anyone help me??
Thanks in Advance
Click here to see answer by longjonsilver(2297)

Question 12234: OK , here is the problem, solve for x.
x^(1+ln x)= 7,39
Doesn´t look that complicated but I keep getting stuck.
Incidentally I´ve discovered that 7,39 = e^2 and I think that the answer for x = square root of 7,39, but don´t know how to get there.
Thanks in advance for any assistance.
Click here to see answer by longjonsilver(2297)

Question 12264: wat is algebraic expression
Click here to see answer by asiancandle(1)

Question 12591: Please help with this problem: 3 log 3 x=5 (the second "3" is under the word "log"). I can't seem to follow the pattern on my textbook. I would love to see the steps to working out this problem. thanks!
Click here to see answer by rapaljer(3610)

Question 13567: ln(x) + ln(x-7) = ln5x
x=?
Click here to see answer by rahman(247)

Question 13962: I am not sure how to express this question:
ln(Ae^Bx)
I am thinking of simplifying it to
(lnA)-Blnx ?
Click here to see answer by longjonsilver(2297)

Question 13926: I am not sure how to go about this, it was listed in a solution and there is alot of assumptions on the readers behalf or atleast mine.
nlog(base4)n=log(base2)4*nlog(base2)n=2nlog(base2)n
There is a base change from 4 to 2 and I am getting hung up on this one.
nlog(base4)=n(log(base 2)n/log(base 2)4)= n(log(base 2)n-log(base 2)4)=
nlog(base 2)n - nlog(base 2)4
is what I have tried and they don't look the same. Could you please help.
Thanks in advance.
Michael
Click here to see answer by longjonsilver(2297)

Question 14246: using logarithms, solve the equation 2^3x = 7
Click here to see answer by longjonsilver(2297)

Question 14244: find x to the nearest tenth: x = Log(base2) 9
Click here to see answer by longjonsilver(2297)

Question 12776:
Click here to see answer by aya(1)

Question 15531: 3(2x-1)=15 what does x equal?
Click here to see answer by pwac(251)

Question 15736: ln(x/y)=3. (x/y)=?
Click here to see answer by rapaljer(3610)

Question 11901: I am trying to figure out how to simplify and hence solve the following equation.

I know but I am stuck as I don't know how to deal with other than to make it but then what do you do with that? Perhaps I am going about it the wrong way. Any help would be appreciated, thankyou.
Click here to see answer by khwang(438)

Question 15879: 2log(x+3) - log(x+1) = log(2x+3) What does x equal??
Click here to see answer by rapaljer(3610)

Question 15879: 2log(x+3) - log(x+1) = log(2x+3) What does x equal??
Click here to see answer by venugopalramana(3286)

Question 15933: Sonya has x amount of money. Bob has three times as much as Sonya has, less $14.62. Write an expression, using x, that tells how much money Bob has.
Click here to see answer by AnlytcPhil(958)

Question 16367: what is 5times 5
Click here to see answer by kikerkins(17)

Question 16462: log(x,5)+log(5,x)=2

Click here to see answer by rapaljer(3610)

Question 16602: solve log base 2 of quantity x + 1 minus log base 4 of x equals 1
log2 of (x+1) minus log4 of x = 1

Click here to see answer by venugopalramana(3286)

Question 16657: What is the solution to

Click here to see answer by rahman(247)

Question 16748: What is the solution to
((cuberoot 2) raised to the 2 -x) = 2 raised to the x^2
Click here to see answer by venugopalramana(3286)

Question 16747: What is the solution to
(log base 16 of x) + (log base 4 of x ) + (log base 2 of x) = 7
Click here to see answer by rapaljer(3610)

Question 17260: help.... I cant find the answer.
G= .067+.052 Log (M)
I tried subtracting .067 from both sides and got
G-.067 = .052 Log (M)
then dividing both sides by .052
to get (G-.067)/.052=Log M
then plugged it into my calculator and got the wrong answer.
Click here to see answer by rapaljer(3610)

Question 17350: How do you solve this problem? I can't figure out how to put it into the calculator. The problem is 10 to the -5 power =0.00001. can I have some help solving this problem.
Click here to see answer by venugopalramana(3286)

Question 17466: 1400=1000(1+(r/360))^720
How do I solve for r?

Click here to see answer by bam878s(76)

Question 17475: I need help evaluating this expression:
Log base 10 multiplied to (.01) raised to the 3rd power
Thanks
Michael V
Click here to see answer by bam878s(76)

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