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mathmath333
 one year ago
Frustrating problem
mathmath333
 one year ago
Frustrating problem

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\normalsize \color{black}{\begin{align}& \text{if}\ \log 242=a,\log 80=b\ \text{and}\ \log 45=c & \hspace{.33em}\\~\\ & \text{express}\ \log36\ \text{in terms of }\ a,b,\ \text{and }\ c.\hspace{.33em}\\~\\ & a.)\ \dfrac{(c1)(3c+b4)}{2} \hspace{.33em}\\~\\ & b.)\ \dfrac{(c1)(3c+b4)}{3} \hspace{.33em}\\~\\ & c.)\ \dfrac{(c1)(3cb4)}{2} \hspace{.33em}\\~\\ & (d.)\ \text{none of these} \hspace{.33em}\\~\\ \end{align}}\)

phi
 one year ago
Best ResponseYou've already chosen the best response.1one thought is to first find the prime factors of each of the given numbers

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i tried and ended up blundering every time in calculation

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1further i need to solve these problem within 23 min

phi
 one year ago
Best ResponseYou've already chosen the best response.1are you allowed a calculator?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1lol no / cheating prohibited

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2try out the options lol

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2so the answer is.......

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1thats a liitle time tough

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1lol and the book gives none of these at last when i checked

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2lol xD i hate when it happens xD

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1the objective here is to i need to observe this problem deeply

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2nd i m the guy who likes to do the opposite of what is said to be done. XD

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1what is the minimum time this problem should be solved

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i guess there should be some trick

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Please note that: 242= 11²*2, 80=8*10 and 45=90/2

phi
 one year ago
Best ResponseYou've already chosen the best response.1I don't see a fast way. but we can look at the first choice and say log(45/10) ( log(45^3) + log(80)log(10000)) = log(36^2) or log(45/10) ( log ( 5^3 * 3^6 * 2^3 / (2^2 5^2) ) = ... log(4.5) log(2*5*3^6) = log(2^4 3^4)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i guess this is the only way

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1I can't find a fast way either.

phi
 one year ago
Best ResponseYou've already chosen the best response.1log (9/2) is about 0.950.3 = 0.65 or about 2/3 so log(2^(2/3) 5^(2/3) * 3^4) = log(2^4 * 3^4) log(10^(2/3) ) + log(3^4) = log(2^4) + log(3^4) 2/3 + log(3^4) = log(2^4) + log(3^4) 2/3 = log(2^4) ? definitely not

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1b=3log2+log10 = 3log2 +1 b1=3log2

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1c=log45 > log (90/2)=log90  log2 c=2log 3+1log2 c1=2log3log2

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1b1=3log2 (b1)/3=log2 c1=2log3(b1)/3

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1That's it! This is all about getting the smallest common divisors in terms of log(10)

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2but still i think that tryin out options will be the best

phi
 one year ago
Best ResponseYou've already chosen the best response.1to do that in 2 minutes you will have to get *very* familiar with logs

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2To me, it is "none of them"

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i nned to remember log 2 and log 3 values and then try out with options simpifying it only log 2 and log 3

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes , none of the above. But how do you know that quickly?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.2log (80) = log (20*4) = log (20) +log(4) hence log (4) = log(80)  log (20) = b log(20)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.236 = 4*9 log 36 = log 4 + log9 = blog 20 + log9 and log 45 = log 9+ log 5> log 9 = log 45log5 = c  log5 hence log36 = blog20+clog5 log 36 = b+c(log20+log5) = b+clog(20*5) = b+c  log 100 = b+c2 None of the above can simplify to get b+c2.
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