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Mathematics 21 Online
OpenStudy (anonymous):

Someone please help me , advanced exam tommorow JEE QUESTION

OpenStudy (anonymous):

\[\huge 3^{x} = 4^{x-1}\] Find x

OpenStudy (anonymous):

Should we take log on both sides

OpenStudy (anonymous):

take logarithm in both sides

OpenStudy (anonymous):

x log 3 = (x-1) log 4 solve for x

OpenStudy (anonymous):

Wait there are options

OpenStudy (anonymous):

answer is log4/(log4/3), do the necessary calculations, i have given you the hint how to solve that

OpenStudy (anonymous):

(A)\[\frac{ 2\log_3 2}{ 2\log_3 2 -1 }\] (B)\[\frac{ 2 }{ 2 - \log_2 3}\] (C)\[\frac{ 1 }{ 1 - \log_4 3}\] (D)\[\frac{ 2\log_2 3 }{ 2\log_2 3 -1}\] {It came in Jee(advanced) 2013, Paper2 , (3,-1)/60}---> In case if anyone has any website for sollutions

OpenStudy (anonymous):

option B

OpenStudy (anonymous):

\[x = - \frac{ \log(4) }{ \log(3) -\log(4) }\]

OpenStudy (anonymous):

no negative sign

OpenStudy (anonymous):

There would be I am sure , would you please re-confirm if you don't mind :) Is my answer correct @ganeshie8

OpenStudy (anonymous):

Are you here @Arnab09

OpenStudy (anonymous):

check again, there will be no negative sign

OpenStudy (anonymous):

Hey i think i got it

OpenStudy (anonymous):

\[\huge \log_23^{x}= \log_24^{x-1}\] The R.H.S would become \[\huge 2(x-1)\] The L.H.S would become \[\huge xlog_23\] \[x= \frac{ 2 }{ 2-\log_2^{3} }\]

OpenStudy (anonymous):

that is correct^^ :)

OpenStudy (anonymous):

There are multiple options correct

OpenStudy (anonymous):

Is anyone really here

OpenStudy (anonymous):

A,B,C all are correct

OpenStudy (anonymous):

If we try to rearrange we geet A , uhhhhh yes sgot C Thanks everone

OpenStudy (anonymous):

U might want to have a look at this @mathslover

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