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Please I Need Solution For This GMAT Question. by Kimikazi2: 2:01pm On Oct 22, 2014
Mathematics guru in the house, could you please post the solution to this GMAT question.
Log(6/3) divided by Log(8/0.25). Please note that the log is in base 2. Thanks.
Re: Please I Need Solution For This GMAT Question. by ilori1930(m): 2:08pm On Oct 22, 2014
1/5
Re: Please I Need Solution For This GMAT Question. by XketchDesigns(m): 2:10pm On Oct 22, 2014
Log 2 divided by log 32
All same base so u factor log out
Left with log (1/16)
Which is same as log 2^-4
Final answer -4

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Re: Please I Need Solution For This GMAT Question. by sucroseoff(m): 2:15pm On Oct 22, 2014
ilori1930:
1/5

log2 in base 2=1 and
log32 in base 2=5
so that's 1/5
nt a guru, btw
Re: Please I Need Solution For This GMAT Question. by ilori1930(m): 2:17pm On Oct 22, 2014
log(6/3)=log2=1.
and log(8/0.25)= log32=5
hence, log(6/3) divided by log(8/0.25) = 1/5.
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 6:56pm On Oct 22, 2014
Log2(6/3) ÷ Log2(8/0.25)

Log2(2) ÷ Log2(32)

Log2 21 ÷ log2 25

1log2 2 ÷ 5log2 2

NB: log2 2 = 1

.: 1(1) ÷ 5(1)

final answer = 1÷5 i.e 1/5

4 Likes

Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 8:49pm On Oct 22, 2014
The last person has an idea. But in log, division is subtraction. So, instead of 1/5, it is 1-5 which gives you -4.
Re: Please I Need Solution For This GMAT Question. by XketchDesigns(m): 8:52pm On Oct 22, 2014
sirwilly1:
The last person has an idea. But in log, division is subtraction. So, instead of 1/5, it is 1-5 which gives you -4.
Exactly..
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 8:52pm On Oct 22, 2014
sirwilly1:
The last person has an idea. But in log, division is subtraction. So, instead of 1/5, it is 1-5 which gives you -4.
XketchDesigns:

Exactly..

Lol, you've forgotten that the log has already been eliminated.
Re: Please I Need Solution For This GMAT Question. by XketchDesigns(m): 8:55pm On Oct 22, 2014
Osyxcel:



Lol, you've forgotten that the log has already been eliminated.
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 8:56pm On Oct 22, 2014
XketchDesigns:

You factor the log before eliminating.

I don't understand you o, what are you factoring again?
Re: Please I Need Solution For This GMAT Question. by adepiero: 9:24pm On Oct 22, 2014
Osyxcel:
Log2(6/3) ÷ Log2(8/0.25)

Log2(2) ÷ Log2(32)

Log2 21 ÷ log2 25

1log2 2 ÷ 5log2 2

NB: log2 2 = 1

.: 1(1) ÷ 5(1)

final answer = 1÷5 i.e 1/5
This is the correct answer! as opposed to those who got -4, your answer is only correct if you factorize. but in this case, the log2 2 has been broken down to give 1.

which now gives:

1(1) ÷ 5(1) = 1/5
Re: Please I Need Solution For This GMAT Question. by ilori1930(m): 9:43pm On Oct 22, 2014
sirwilly1:
The last person has an idea. But in log, division is subtraction. So, instead of 1/5, it is 1-5 which gives you -4.
you are so incorrect! At that point when the various values of log2 and log32 has determined to be 1 and 5 respectively, laws of logarithms no longer apply. You may want to consult your SS1 maths text for clarification.
Re: Please I Need Solution For This GMAT Question. by emeritus00(m): 9:57pm On Oct 22, 2014
sirwilly1:
The last person has an idea. But in log, division is subtraction. So, instead of 1/5, it is 1-5 which gives you -4.
the correct ans is 1/5.
log (6/3)÷log (8/0.25)
log 2 ÷ log 32
log 2 ÷ log 2^5 (log 2^5 is log 2 raised to power 5)
(log 2^5 = 5 log 2)
log 2 ÷ 5 log 2 ı.e 1log 2/ 5 log 2
(log 2 at both numerator and denominator concel out)
den u va 1/5
Re: Please I Need Solution For This GMAT Question. by Dolapowale: 10:29pm On Oct 22, 2014
emeritus00:
the correct ans is 1/5.
log (6/3)÷log (8/0.25)
log 2 ÷ log 32
log 2 ÷ log 2^5 (log 2^5 is log 2 raised to power 5)
(log 2^5 = 5 log 2)
log 2 ÷ 5 log 2 ı.e 1log 2/ 5 log 2
(log 2 at both numerator and denominator concel out)
den u va 1/5
Q.E.D correct
Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 11:57am On Oct 23, 2014
emeritus00:
the correct ans is 1/5.
log (6/3)÷log (8/0.25)
log 2 ÷ log 32
log 2 ÷ log 2^5 (log 2^5 is log 2 raised to power 5)
(log 2^5 = 5 log 2)
log 2 ÷ 5 log 2 ı.e 1log 2/ 5 log 2
(log 2 at both numerator and denominator concel out)
den u va 1/5
Let me solve it myself from the beginning now.
Log(6/3) / Log(8/0.25)
=log2 / log32
=log2 / log2^5
=Log2 / 5log2
= 1(log2) / 5(log2)
= 1 - 5 [log2]
= -4[log2]
When log2=1,
-4[log2] = -4.
Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 11:59am On Oct 23, 2014
The person that brought this question should tell us what is written as the answer in the book.
Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 12:02pm On Oct 23, 2014
For those questioning my solution, solve this (this is in base 10):
Log10 * log 100.
After solving it, use a scientific calculator to solve the same thing and give me the answer. I already know it.
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 12:19pm On Oct 23, 2014
sirwilly1:

Let me solve it myself from the beginning now.
Log(6/3) / Log(8/0.25)
=log2 / log32
=log2 / log2^5
=Log2 / 5log2
→= 1(log2) / 5(log2)
→= 1 - 5 [log2]
= -4[log2]
When log2=1,
-4[log2] = -4.

You've already bracketed the Log, it doesn't affect the equation any longer as you are already eliminating it.

1(log22)/5(log22)

= 1(1)/5(1) not what you put up there.

stop confusing yourself
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 12:21pm On Oct 23, 2014
sirwilly1:
For those questioning my solution, solve this (this is in base 10):
Log10 * log 100.
After solving it, use a scientific calculator to solve the same thing and give me the answer. I already know it.

If you are getting anything other than 2, you are wrong.
Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 2:24pm On Oct 23, 2014
Ok. May your wills be done. The answer to Log10*log100 is 3. You can use your calc to confirm. Then, compare the answer to that of the previous question. Thanks.
Re: Please I Need Solution For This GMAT Question. by Supremor(m): 3:13pm On Oct 23, 2014
The guy who got 1/5 got it right. D workings are stepwisely correct
Re: Please I Need Solution For This GMAT Question. by Osyxcel(m): 3:56pm On Oct 23, 2014
sirwilly1:
Ok. May your wills be done. The answer to Log10*log100 is 3. You can use your calc to confirm. Then, compare the answer to that of the previous question. Thanks.

Oya see screenshots from a scientific calculator

Re: Please I Need Solution For This GMAT Question. by emeritus00(m): 7:24pm On Oct 23, 2014
sirwilly1:
Ok. May your wills be done. The answer to Log10*log100 is 3. You can use your calc to confirm. Then, compare the answer to that of the previous question. Thanks.
Jst knw dt u nid 2 pick up bck ur elementary maths...
frm laws of indices
log a + log b = (log a × b)
not log a × log b = log (a × b)
bck 2 ur que... log 10 × log 100
as I sed log 10 × log 100 cannot giv u log (10 ×100). it only solve each log separately I.e
log 10 = 1
log 100 = 2
log 10 × log 100 = 1 × 2 = 2
Re: Please I Need Solution For This GMAT Question. by sirwilly1(m): 9:10pm On Oct 23, 2014
Ok. I surrender. Let's move on.

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