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Mathematics 23 Online
OpenStudy (mathhelp346):

log base 6 [log base 5 (log base 3 x)] = 0

OpenStudy (mathhelp346):

\[\log_{6} [\log_{5} (\log_{3}x) ]=0 \]

OpenStudy (anonymous):

pealing off one at a time, this tells you \[\log_5(\log_3(x))=1\] as a first step

OpenStudy (anonymous):

this in turn means \(\log_3(x)=5\)

OpenStudy (anonymous):

and finally this gives \(x=3^5\)

OpenStudy (mathhelp346):

Wait, how did you know that \[\log_{5} (\log_{2} (x))=1\] ?

OpenStudy (mathhelp346):

And what happened to\[\log_{6}\]

OpenStudy (mertsj):

\[\log_{a}x=b \] means \[a ^{b}=x\]

OpenStudy (mertsj):

The great one used that principle 3 times.

OpenStudy (mathhelp346):

The great one...haha. :P

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