Someone please help me , advanced exam tommorow JEE QUESTION
\[\huge 3^{x} = 4^{x-1}\] Find x
Should we take log on both sides
take logarithm in both sides
x log 3 = (x-1) log 4 solve for x
Wait there are options
answer is log4/(log4/3), do the necessary calculations, i have given you the hint how to solve that
(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
option B
\[x = - \frac{ \log(4) }{ \log(3) -\log(4) }\]
no negative sign
There would be I am sure , would you please re-confirm if you don't mind :) Is my answer correct @ganeshie8
Are you here @Arnab09
check again, there will be no negative sign
Hey i think i got it
\[\huge \log_23^{x}= \log_24^{x-1}\] The R.H.S would become \[\huge 2(x-1)\] The L.H.S would become \[\huge xlog_23\] \[x= \frac{ 2 }{ 2-\log_2^{3} }\]
that is correct^^ :)
There are multiple options correct
Is anyone really here
A,B,C all are correct
If we try to rearrange we geet A , uhhhhh yes sgot C Thanks everone
U might want to have a look at this @mathslover
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