Questions on Algebra: Logarithm answered by real tutors!

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Question 348072: What is the value of the given expression:
log sq.rt.(m^3/n)
a. 1/2 log m - log n
b. 3/2 log m - log n
c. (3 log m - log n)/2
d. (log m - log n)/2
Click here to see answer by Jk22(389)

Question 348143: Assume that x,y, and z are positive numbers. Us the properties of logarithms to write expression in terms of the logarithms of x, y, and z.
log(base b)x^1/2y^3
Click here to see answer by stanbon(57347)

Question 348140: ln(y+4)=ln(y+1)+ln5; I tried working each side out individually on my calculator but the answers do not agree with my any of my 4 choices. I came up with 2.639 for left side and 4.007 for right side
Click here to see answer by stanbon(57347)

Question 348149: What is...
2 log x - 1/2 log y
(they both have no base/the same base)
Only to be simplified I think, as a fraction.
Click here to see answer by nerdybill(6958)

Question 348577: Solve for x: log x^2-4=5
Click here to see answer by stanbon(57347)

Question 348525: evaluate without using a calculators or tables
log 0.7 power 1
Click here to see answer by jsmallt9(3296)

Question 348510: log(n)39870=28
Click here to see answer by jsmallt9(3296)

Question 348686: Rewrite the following expression as a simple log:
4logx−2log(x^2+1)+5log(x−1)
Click here to see answer by Fombitz(13828)

Question 349103: log(√(x))x
how would this be simplified?
Click here to see answer by Fombitz(13828)

Question 349103: log(√(x))x
how would this be simplified?
Click here to see answer by stanbon(57347)

Question 349424: espress as one quantity: logbx + logb(x+2)-logb8
Click here to see answer by jsmallt9(3296)

Question 350250: 1) Given that base 3 log of x =p find in terms of p in the simplest form :
base 3 log of 81x and base 3 log of x^3/9
Hence or otherwise solve base 3 log of (81x) - base 3 log of (x^3/9) = 7
giving your answer as a surd in the simplest form
I am getting 7/8 as my answer and since this is not a surd,I don't think its the correct solution.

2)Given that 2 base y log x + 2 base x log y =5
show that base y log x= 2 or base y log x=1/2
Hence or otherwise solve : 2 base y log x+ 2 base x log y =5 and xy=27
THANK YOU!
Click here to see answer by jsmallt9(3296)

Question 350781: Solve
e^x = 3 - 2e^-x
I have a problem regarding natural logs since they're a little different form the base 10 logs
Thanks
Click here to see answer by solver91311(16885)

Question 350785: x=log81/log27 x=?
Click here to see answer by solver91311(16885)

Question 350943: I am having a hard time with this section.
log4)x - log4)(x + 3) = -2
4e^(x+3) - 4 = 11
Click here to see answer by nerdybill(6958)

Question 351495: An ant is roughly 10^ - 3 meters in length and the average human 1.7 meters. How many times longer is a human than an ant?
Click here to see answer by nerdybill(6958)

Question 351446: Solve for the positive value for x, to the nearest tenth: (1/x)+ (1/(x +3))=2
Click here to see answer by Fombitz(13828)

Question 351652: the amt of product x (in mol /cm3) found in a chemical reaction starting wuth 2.5 mol/cm3 of reactant in given by x=2.5(l-e raise to-4t)where l id the time in minute,to form product x.determine x after 1 min.
Click here to see answer by solver91311(16885)

Question 351689: solve for x.
17^5x = 5 * 6^x
Click here to see answer by Fombitz(13828)

Question 352030: ( log n - 1 ) ( log n - 2 ) = ?
where log base is 4.
Click here to see answer by Alan3354(30993)

Question 351978: An ant is roughly 10^-3 meters in length and the average human 1.7 meters. How many times longer is a human than an ant?
Click here to see answer by edjones(7569)

Question 351473: solve for x:
2^x=7^3x-1
Click here to see answer by Alan3354(30993)

Question 352961: log(2500)
Click here to see answer by nyc_function(2733)

Question 353325: I need help solving the following equation.
simplify e^2ln(x+1)=?
thank you,
mayra
Click here to see answer by stanbon(57347)

Question 353378: Hello, what is Logarithm?
Click here to see answer by stanbon(57347)

Question 353514: Use Logarithms to find an exact expression for x if
5^-3x + 3 = 7
Click here to see answer by jsmallt9(3296)

Question 353339: solve for x:lne^2x+1=9
Click here to see answer by jsmallt9(3296)

Question 353657: What is log base 6 (square root of 6)?
Click here to see answer by Fombitz(13828)

Question 353657: What is log base 6 (square root of 6)?
Click here to see answer by jim_thompson5910(28595)

Question 353679: A GIC pays 6 % per annum. How long would it take $3000 to grow to $6000?
Click here to see answer by stanbon(57347)

Question 353707: what is value of x: log(base s)x =3
Click here to see answer by Alan3354(30993)

Question 353706: If \ln (x) = -0.123, what does x equal?
Click here to see answer by Alan3354(30993)

Question 353706: If \ln (x) = -0.123, what does x equal?
Click here to see answer by jsmallt9(3296)

Question 353773: factorise 64x^3+1/27+16x^2+4/3x
Click here to see answer by jsmallt9(3296)

Question 353884: Use systematic trial and error to solve log50.
Click here to see answer by jim_thompson5910(28595)

Question 353949: Find f(x) abd g(x) such that h(x) = (f of g)(x)
h(x) = |6x+9|
I come up with the following:
f(x)= x, g(x)= 6x+9
Am I correct
Click here to see answer by jim_thompson5910(28595)

Question 354092: What would be the value of X so that |x-5|-2 has a positive answer
Click here to see answer by stanbon(57347)

Question 354395: solve the equation for x.
log base 9(4x+1)=7
Click here to see answer by Alan3354(30993)

Question 354499: Can you help me, please?
Thank you very much in advance!

log(x+9) + log x = 1
Click here to see answer by robertb(4012)

Question 354497: can you help me with this exercise, please?
solve for x:
ln e^(sqrt(x-2))= 6
Thank You!!
Click here to see answer by robertb(4012)

Question 354496: can you help me with this exercise, please?
solve for x:
3(3^x-1) = 1/27
Click here to see answer by robertb(4012)

Question 354509: The value of (log π e) is:
answer with three decimal places)
ThanK you very much for your help!
I appreciate that!
Click here to see answer by robertb(4012)

Question 354511: Solve for x:
log 2,(x+6) + log 2,(x-1) = 3
Thank you for your help!
Click here to see answer by robertb(4012)

Question 354512: Solve for x:
log 2,(log 5,(x-1)) = 1
Thank you for your help!
I appreciate it!
Click here to see answer by jsmallt9(3296)

Question 354508: Write log a sqrt(6) , in terms of "p" and "q" , if log a 2 = p and log a 3 = q
Thank you for taking the time to help me out.

Click here to see answer by jsmallt9(3296)

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