Plz help:)
can you rewrite it using paranthesis ?
okay let me provide a hint: \[\log_ab^n = n\log_ab\] Can you apply this to the very first term?
Sorry, for misunderstanding all of u.My ques. is:-\[\log_{5}{(5^{1/x}+125)} =\log_{5}{6+1+(1/2)x} \]
@apoorvk Plz help:)
\(1 = \log_55\) and \(x/2= \log_55^{x/2}\) Replace it and then club the logs together. And then solve!
can u give me full solution plz.
Do you know the properties of logarithms?
Ya!
are u there @apoorvk ?
okay, what's --> \(\log_56+\log_55 + \log_55^{x/2}=??\)
I couldn't understood wht u wants to say:(
Is anybody here????
Plz help. I need helppppppppppp.
do you know that \(\log_ma+\log_mb+....+\log_mn=\log_m(a\times b\times....\times n)\)??
ya!
so can you apply that to the expression I wrote above and find out its equivalent?
I gt \[\log_{5}{30\times5{x/2}} \]
@apoorvk
that would be actually \(\log_5(30\times 5^{x/2})\) that's what you meant right?
Ya!
Hmm, so now this term equals the LHS, that is \(\log_5(5^{1/x}+ 125)\). Now since the bases are same, you can take antilog and remove the log signs, so that the arguments equal each other. (Btw, are you sure that the '125' is a part of the argument of the log in the LHS?)
Ya!i m totally sure that 125 is a part of the argument of the log in the LHS.
The answer given in my book is 1/2 or 1/4.
One minute I think at R.H.S.the argument of log is only to 6.
so, \(5^{1/x}+125 = 30\times 5^{x/2}\)
WHAT?? I REQUEST you to please read it correctly yaar, ye toh paagal ho gaya main :O :p
Nooooo ! I m only thinking about this becoz at R.H.S. there is no bracket like those at L.H.S.
Do u understand??????
I have written the correct ques.
Itna sannata kyun hai????
http://www.wolframalpha.com/input/?i=Solve [Log[30*5^%28x%2F2%29]+%3D%3D+Log[125+%2B+5^%281%2Fx%29]%2C+x]
so wht is ur conclusion @experimentX
must be some kind of typo in question.
K! I gt it .i also thought that there is some type of typo. Thanx!
if the answer is 1/2 and 1/4 then there must be some typo. try solving by pluggin to wolfram.
K!
Join our real-time social learning platform and learn together with your friends!