Question

How does expression written in exponential form: 6^log6(x) turn to a logarithm form: 6^log6(x)=x? HELP!

Answer 1

this is property of log

\[\Huge a^{\log_{a}(x)}=x\]
where a here is a=6

Answer 2

is it something like:

6^x = y
6^y= x... and then I'm stuck

Answer 3

you can write
6^x=y as
\[\Large \log_{6} y=x\]

Answer 4

on my textbook it states,

6^log6(x)
6^log6(x) = y
log6y = log6x
y=x
6^log6(x) = x

Answer 5

but in the question the log was in the exponent of the base of log 6
so they usualyy gets canceled

Answer 6

i don't understand why... :(

Answer 7

ohh.. can you please show me a step-by-step? :$