Friday

November 21, 2014

November 21, 2014

Number of results: 39,410

**college algebra**

Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4 - log x^3 4 log (x+3) - 5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.
*April 17, 2013 by Deb*

**math**

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) log(4) (e) log(x) = log(5x) log(5) (f) ln(25) = 2ln(5) (g) ln(1) = log(1) (h) ln(e) = log(10) (i...
*April 16, 2010 by Simon*

**College Algebra**

Give the real solution set for each of the following: 42) log(6)(x^2+11) + log(6)x = 1 + log (6)(x^2+1)
*November 16, 2010 by Y0gi*

**Algebra 2**

how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 1 then 2 Log (-2X) = 1 then (2 Log (-2X) = 1)(1/2) Log (-2X) = 1/2 then (Log (-2X) = 1/2)(-1/2) Log X = (-1/4) then by def ...
*February 25, 2009 by HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*

**college algebra**

2 log x- log 9=log 441
*July 24, 2012 by faylinn*

**college algebra**

2 log x- log 9=log 441
*July 24, 2012 by faylinn*

**Math Help Please**

Which of the following expressions is equal to log (x sqrt-y)/z^5 A. log x + log (1/2) + log y log 5 log z B. log [x + (1/2)y 5z] C. log x + (1/2)log y 5 log z d. [(1/2) log x log y]/(5 log z)
*August 3, 2009 by Katrina*

**College Algebra**

Write the expression as a single logarithm whose coeffecient is 1. Log x + 12 log y
*December 1, 2012 by Billie*

**college algebra**

solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work
*September 5, 2012 by ALLI*

**college algebra**

Solve the logarithmic equation. Log x +log2x = 4 Wouldn't this be no solution because log x is undefined?
*April 24, 2013 by Deb*

**College Algebra**

solve the following: Log(50x)+log(x-1)=2
*March 7, 2011 by bob*

**College Alegebra**

I know I have to take the log of both sides, but I don't seem to get how they work out! Can anyone explain how to do 3e^(1+x) = 2 AND 10^(2x+3) = 280 If you walk me through one I should be able to figure out the other. Hopefully... I think you need to go back to one of the log...
*April 1, 2007 by Lost in Logarithms*

**Algebra-Please check**

Write y = 10^(x) as a logarithmic function Choices are log(x)10 = y log(y)x = 10 log(10)y = x log(x)y = 10 I think it is log (10)y = x
*November 16, 2010 by Annie*

**Algebra 2**

-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b of n log base 2 of 8+ log base 2 of 16=7 * (log base b of m) (log base b of n)=(log base 2 ...
*July 21, 2013 by Anonymous*

**Mathematics**

Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2 - Log ar= Log ar - Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then cross-multiply hence a^2r^2 = a^2r^2 L.H.S=R.H.S Hence proved?
*July 15, 2009 by Anonymous*

**college algebra**

I need to expand the expression without exponents. We haven't covered this yet so I am confused on how to do both of them Log x4y7/4 4 log x^8/√yz^5 4 Thanks, for your help.
*April 17, 2013 by Deb*

**college algebra**

use the properties of logarithms to find the exact value of the expression loglower 3^18 - log lower3^6 **how do I make the three lower in the log equation?
*November 27, 2012 by confused*

**TRig WIth LoGs help1!!**

i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing? the problem is... Solve for x: log(x^3)= (log x)^3 Rewrite it as 3 log x = (log x)^3 The use algebra (divide each side by log x) to get (log x)^2 = 3 log x = (+ ...
*October 20, 2006 by ashley*

**college algebra**

solve the following logarithmic equation. 1. 2log(lower2) (x-2) + log(lower2)^2=3 I do not know how to make the 2 by the g on my computer. 2. log(lower729^x) + log(lower27^x) + log(lower3^x) =9 again I do not know how to make the numbers lower case please show work, and if you...
*November 30, 2012 by confused--two questions please help*

**College Algebra**

log(x+10)=1+log(4x-3)
*April 20, 2012 by Brian*

**Algebra-Please check**

y= 6x is written as: Choices y = log(6)x x = log(6)y I chose y = log(6)x, correct?I did the inverse so x = 6^x isolate y so it becomes y = log(6)x
*November 15, 2010 by Jesse*

**Algebra-Please check my answer**

y= 6x is written as: Choices y = log(6)x x = log(6)y I chose y = log(6)x, correct?I did the inverse so x = 6^x isolate y so it becomes y = log(6)x
*November 15, 2010 by Jesse*

**College Algebra**

Solve the logarithmic equation for x. log(base 3)(x+6) - log(base 3)(x+1)=1 urgent! help!
*December 4, 2012 by Patrick:)*

**math(Please help)**

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!
*February 10, 2010 by Hannah*

**Re: Algebra II **

How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is from the logarithmic function : b) (y=log x) b Could anyone post the answer to this? 16 is supposed to be next to Log(16) but lower. This is for both the Logs in the equation.
*May 18, 2010 by Anonymous*

**Algebra please can you ck my work**

Evaluate the given expressions (to two decimal places). log 1.69 =123 log 2^512 = .09 log 2^1 = 0 log o.o46 =1.34 Thank you
*June 13, 2014 by Mary Ann*

**math**

write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these three rules and it becomes an easy question.
*February 25, 2007 by michelle*

**Algebra**

How would I write 1-2log(7)x as a single logarithm Choices: log(7) x^2/7 log(7) 7x^2 log(7) 7/x^2 log (7) x^2 Thank you
*November 15, 2010 by Jesse*

**College Algebra**

Solve the logarithmic equation. Express your solutions in exact form only. Please show all of your work. log base 6 (64x^3+1)-log base 6 (4x+1)=1
*January 18, 2012 by Jo *

**Chemistry/Algebra 2**

Are the answers to these correct? Use log(base12)3= 0.4421 and log(base12)7= 0.7831. log(base12)36 = log(base12)3^2*4= 4.8842 log(base12)27/49 = -0.2399 log(base12)81/49 = 0.2022 log(base12)16,807 = 3.9155 (16,807= 7^5) log(base12)441 = 2.4504 (441= 7^2*3^2)
*May 28, 2010 by Ana*

**algebra**

logarithms Solve the following equations 3^x-2=6 Add 2 to both sides of the equation to start. Whatever operation you do to one side of an equation you must do to the other side as well. 3^x - 2 + 2 = 6 + 2 3^x = 8 Changing to logs: log 3^x = log 8 x log 3 = log 8 x = log 8 / ...
*November 9, 2006 by Dee Williams*

**Trigonometry**

This is a logs question If u=x/y^2, which expression is equivalent to log u? 1) log x + 2 log y 2) 2(log x- log y) 3) 2(log x + log y) 4) log x- 2 log y
*February 11, 2012 by Charles*

**Math/trig**

Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 log b- 2 log a 3) 2 log b - 1/2 log a 4) 1/2logb/2 log a
*February 11, 2012 by matthew*

**algebra homework**

please check my answers. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln sqrt x+6 = 9 i got {e^9-6} log (x + 4) = log (5x - 5) i got: 9/4 log (x + 30) - log 2 = log (3x + 2...
*October 26, 2007 by Ang*

**College Algebra**

How do you solve 3 log(base 2)*(x-1)+ log(base 2)4=5
*November 12, 2012 by Hope*

**Trigonometry**

The expression log(x^n/ radical y)is equivalent to 1. n log x - 1/2 log y 2. n log x- 2 log y 3. log (nx) - log (1/2y) 4. log (nx) - log (2y)
*February 11, 2012 by Stephen*

**chemistry**

Please, can someone help? Evaluate log 1. This is my work up until I have gotten stuck: log 1 1=10^x I can't find a common base for 1 and 10^x. Wow, my apologies, this is algebra, not chemistry. but actually I think they use it in chemistry too... Take the log base 10 of each ...
*April 10, 2007 by Darcy*

**Advanced Functions/ Precalculus Log**

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). Round answer to two decimal places...
*December 19, 2013 by Jessie*

**algebra**

1. logx+log(x+48)=2 14.log50+log(x/2)=2 23.log72-log(2x/3)=0 Could someone please explain to me how to solve these?
*February 4, 2008 by chelsea*

**algebra 2 logaithms**

Use the properties of logarithms to evaluate/simplify the expression. 1. 5^log(7x) 2. 10^x + 2 log(x)=x+2 or log(x)=x-2 ????
*July 15, 2011 by Anonymous*

**mathematics -logs**

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...
*May 12, 2007 by malcolm*

**Algebra 2**

I am having trouble with understanding log. I don't know what to do when it says log x=3 or when it has log with a little 5 x=2
*April 1, 2009 by Grover*

**Algebra II**

How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is from the logarithmic function : b) (y=log x) b Could anyone post the answer to this?
*May 18, 2010 by Anonymous*

**Algebra**

Is this correct? Express as a single logarithm. log[x](14)-log[x](2) Answer= log[x](12)
*June 12, 2010 by Amy Zieg*

**college algebra... LOG**

log4(little 4) 8 how do i write this in y=?
*November 18, 2011 by brianna*

**maths**

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...
*April 17, 2007 by kelly*

**maths**

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...
*May 12, 2007 by claire philips*

**Algebra 2 once more**

I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :) Rewrite as the log of a single number. 1) 8 ln 2 = ln(2^8) 2) log 42 - log 6 = log 36 (I think this one may be wrong). Evalute each expression w/o a ...
*May 23, 2007 by Lindsay*

**college alg**

solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work
*September 5, 2012 by MYA*

**Algebra**

Express as a single logarithm and simplify: 2 log 3 + log (3x) log x
*August 2, 2009 by Katrina*

**ALGEBRA**

Express as a single logarithm and simplify: log x log (8x) + 2 log 4
*November 21, 2010 by Chris*

**Algebra**

ok did i do this right? evaluate the expression log(base4)(16)(4) log(4) 16 + log(4) 4 ? can you do that?
*April 30, 2011 by Brittney*

**Math **

solve log(7x-3)+2log(5)=2+log(x+3) I've attempted to do this question and I ended up with log(7-3)+log(5^2)-log(x+3)=2 but I don't what to do next or whether I did something wrong.
*October 20, 2012 by Kevin *

**algebra**

Write expression as one logarithm and simplify if appropriate. log 3√x+log x^4-log x^3 Need help solving we haven't really gone over this yet.
*April 16, 2013 by Deb*

**algebra**

solve 4^-x=64 Please help -x log 4 = log 64 -x = log 64/log 4 = 3 x = -3
*November 26, 2006 by dee*

**College Algebra**

Write each of the following as a single logarithm (log (x+3))/(3) = 1
*November 16, 2010 by Y0gi*

**chemistry**

The definition of pH is: pH = -log 10[H^+] what is the defintion of the [OH^-]... is it pOH = -log 10[OH^-]? Yes!! pH = - log10 anything. pKa = -log Ka Pkb = -log Kb pKw = -log Kw = 14 PKsp = -log Ksp (solubility product) and so on into the night.
*January 22, 2007 by Mary*

**Algebra**

How can you find log base 3 of 242/5 using the given information without a calculator? log base 3 of 10 = 2.1 log base 3 of 11 = 2.2 log base 3 of 4 = 1.3
*March 15, 2010 by Sara*

**College Algebra**

Solve for x: 3^(2x)=14 We've gotten: 2x=log(subscript 3)14=2.4 Is this two answers, or what?
*August 5, 2009 by Angela*

**College Algebra**

Write each of the following as a single logarithm: 8) ((5-log x)/4) + 4log y =
*November 16, 2010 by Y0gi*

**algebra**

solve 4^3x-4=32^x+2 Please help! Do you mean 4^(3x) -4 = 32^x +2 ? yes If that is really what you mean, I cannot get a closed-form solution for you. You would have to solve it by trial-and-error or graphical means. If, on the other hand, you mean 4^(3x-4)=32^(x+2), then take ...
*November 26, 2006 by dee*

**Algebra**

In the logarithmic expression . . . log(base 4) 8 , how does the base 4 become base 2? Here is how it is suppose to be worked out: log(base2)8 / log(base2)4 => log(base2)2^3 / log(base2)2^2 => 3/2
*November 16, 2013 by Megan*

**Algebra**

log[3](2x+8)+log[3](3x)=log[3](2) Need help with this one please, thanks.
*December 1, 2011 by MV*

**College Algebra**

Express as an equivalent expression, using the individual logarithms of w,x,y and z. log a (xy^2z-3)
*February 9, 2010 by Ashley*

**College Algebra..LOG**

log4(little four) (40 - 3x) = 0 now i need to solve for x...
*November 20, 2011 by Brianna *

**College Algebra..LOG**

log4(little four) (40 - 3x) = 0 now i need to solve for x...
*November 20, 2011 by Brianna *

**math**

Given: f(x)=log 5 x what is the value of f(125) and f(1/25)? Totally lost! I assume you mean f(x) = log (5x), not log 5 * x. If this is the case, then f(125) = log 600 and f(1/25) = log (1/5) If the base of the logs is 10, then log 600 = 2.778..
*January 13, 2007 by Hannah*

**12th grade, Advance Algebra**

How to press the value of log, to evaluate log, to find the unknown log using EL-531WH, advance D.A.L
*February 27, 2011 by Eunthin*

**Algebra**

will you please show me step by step in solving: 1/2 log b + 3 log c. I need to express as a single log logarithm and if possible, simplify Thanks
*December 2, 2012 by sandy*

**Algebra 2**

I am trying to find the inverse of these functions. Can someone please check my answers and tell me how to do number 2? 1. y=7^x y=log base 7 x 2. y=log base 1/2 x 3. y=2^(x)-3 y=2^(x+3) 4.y=6+log x
*December 5, 2013 by Jane *

**math**

Q1:solve log(5)x-log(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x-10a) ,find x in terms of a. Q3:Find x for which 27x3^lgx = 9^1+lg(x-20) Q4:Find x in terms of a and c ,given that log(√ a)(1/x)+log(a)x +log(a^2) x +log (a^4)x=c
*July 20, 2013 by Anonymous*

**College Algebra**

Give the rational number that is the exact value for each of the following: 14) Log(9)((∛(3)/((27))=
*November 16, 2010 by Y0gi*

**Algebra 2**

If log(base10)of 2 =0.301 and log(base10) of 3 = 0.477, how would I find a) log(base10) of 8 b) log(base10) of 12 c) log(base10) of 15
*May 9, 2012 by Sira*

**Math**

The problem 8^x = 16^x+2 the choices a)8 and b)-8. Help please! Given that information I want to say the answer is -8 ? where is the 2. Use parentheses. Is it 16x+2 or 16x+2 The 2 is part of the exponent. Take the log of both sides. log 8x=log 16x+2 x*log 8 = x+2*log 16 solve ...
*January 16, 2007 by Kellie*

**algebra**

Solve log 1/100 = log(10x + 2). Do you mean (log 1)/100 or log (1/100)? If the latter, then 1/100 = 10 x + 2 Take it from there
*June 22, 2007 by gloss*

**algebra**

Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3 I endedup with 1.000063462 which was wrong
*November 6, 2011 by TC*

**Algebra II**

1. 4^x - 3(4^-x) = 8 I got where 4^x = 4 + square root (19), but I can't solve further. The answer is (log (4 + root (19)) ) / (log 4). 2. log (x^2) = (log x)^2 Solve for x Thanks!
*February 15, 2014 by Serena*

**math**

mathematically Evaluate without using tables 2 log base 10 raised 2 power 5 + log base 10 36 - log base10 9 that is, 2log10 5 +log 10 36 - log 10 9
*August 15, 2012 by Daniel*

**math**

solve for x without using a calculator 5^(x+1) = 25 i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it All you need to do is what you just did: Explain that if x = 1, the equation is satisfied. If you are looking for a method of ...
*July 14, 2007 by Anonymous*

**Algebra**

Given log b 3 = 0.8397 and log b 7 = 1.4873. Find log b 3b Is the right answer 0.8397
*May 7, 2010 by dani*

**algebra/logs**

I don't understand this problem: (1/2)n = 0.015625 n log 0.5 = log 0.015625 n = log 0.5 / log 0.015625 n = 6 When I plug log .5 into the calculator it gives .3010 and when I plug .15625 to the calculator it is -1.806 and that would be -.3010/-1.806 =.1666. How is the answer 6...
*August 2, 2012 by Nancy *

**Algebra II**

ok now this is an algebra 2 problem... I have goten far down to hear e^(ix) = (4i +/- 3)/5 now how do I solve for x I feel really stupid now as this is algebra 2... can't use natural log right or the common log as ln( e^(ix) ) does not equal ix so what do I do?
*July 20, 2010 by Kate*

**college alegbra**

1/2 log 25- 3 log x
*May 2, 2012 by connor*

**Precalculus **

PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate without a calculator. Give exact answers: a) log(log(10)) = ? b) square root (log(100)) - log(square root(100)) = ? c) log((square root 10^3)(square root 10^5)(square root 10) = ? d) 1000^log(3) = ? e) log(1/log...
*March 1, 2010 by jh*

**Algebra**

Is this answer correct? Express as a single logarithm: log[2](6)+log[2](13) Answer= log[2](78)
*June 12, 2010 by Amy Zieg*

**Algebra 2 logarithms**

Use the properties of logarithms to evaluate the expression. 1. 5^log(7x) 2. 10^x + 2 log(x)=x+2 or log(x)=x-2 ????
*July 14, 2011 by jay*

**Math**

Are all statements that are true. (a) log(A)/log(B)=In(A)/In(B) (b) In log[b](N), the exponent is N. (c)If 2log[3](81)=8, then log[3](6.561)=8 (d)log[b](N) negative when N is negative. (e)In(x/2)=In(x)/2
*October 30, 2012 by Ms. Jackie*

**Math**

Are all statements that are true. (a) log(A)/log(B)=In(A)/In(B) (b) In log[b](N), the exponent is N. (c)If 2log[3](81)=8, then log[3](6.561)=8 (d)log[b](N) negative when N is negative. (e)In(x/2)=In(x)/2
*October 30, 2012 by Ms. Jackie*

**math**

Calculate without using tables or calculators log 450 and log 324 given log 2 =0.3010 and log 3 =0.4771
*March 14, 2013 by John Makotamo*

**Math-LOGS**

Express x in terms of a,b and c. log x = 1/2 (log a + log b - log c) Please solve and explain how to do this type of problem, thank you!
*December 21, 2009 by Jess*

**calculus**

Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3/4). Express your answer as an exact fraction; remember that log denotes the natural log.
*March 9, 2013 by lisa*

**Trig **

log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i got to the part as far as: (log 4/log b) = 2 now i m stuck at how i can isolate the b. plz help!
*January 14, 2013 by Anonymous*

**precalc**

If g(x = log subscript 7 x then what is the value of g(1/49)? I believe it's 1/2 but I'm not sure. no recall that log 1/49 (base7) = log 1 - log 49 = 0 - 2 =-2
*January 13, 2007 by emma*

**math -- log and exp. functions**

1. evaluate log(base2)[(1/32) X 4^-9] 2. simplify: log x^2 y - (1/2)logx + 3 log y
*September 22, 2007 by anonymous*

**Algebra 2**

How would I solve the equation: log(base2)4 - log(base2)(x+3) = log(base2)8 ? i think i have to start by doing 4/(x+3)=8
*February 28, 2010 by Ana*

**pre-calculus**

What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the fucntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube both sides of the ...
*January 13, 2007 by emma*

**Logarithms**

Hi, Can anyone tell me if the following are correct please:- If x = 10y (where x > 0), then log10 x = y if a and b are positive numbers, then, 2 log 10 a / b = 2log 10 a - 2 log 10 b and lastly if a and b are positive numbers, then, log 10 ( a+b ) = 10 log 10 a + log 10 b ...
*March 22, 2008 by leo*

**math**

write as a single logarithm: ln(x/x-1)+ ln(x+1/x)- ln(x^2-1) please show me the steps. thanx Michelle, I hope you know the three main rules of logs. 1. log (AB) = log A + log B 2. log (A/B) = log A - log B 3 log A^n - n log A Using these rules and guessing at your order of ...
*March 13, 2007 by michelle*

**Calculus**

Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+1)/(x-1) =-Int[1+ 1/(x-1)]dx =-Int dx-Int dx/(x-1) =-x-log(x-1). On differentiating, we get original expression- d/dx[-x-log(x-1)]=-1-1/(x-1)=-x/(x-1)=x/(1-x). However, the answer in the book is -x-log(1-x)...
*January 8, 2014 by MS*

**trigonometry**

This is an outline that i have to use to find the solution of the question. It involves logarithms and half-angle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are a=27 ,b=21 ,c=24 Now ...
*February 28, 2011 by Anon*

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