125 ^ 9x-2 = 150 can anyone help me figure out how to solve this step by step ?

Question

hartnn · Answer

is that 
$1259x-2=150$
?
start by adding 2 on both sides...

hartnn · Answer

but i don't think thats your question, you could've easily solved that

anonymous · Answer

sorry , i mis wrote it , 9x - 2 is an exponent of 125

anonymous · Answer

i think i have to use log but im not any good at logarithm /:

hartnn · Answer

$125 ^{9x-2} = 150$
taking log on both sides

hartnn · Answer

use the property that $\large \log a^b = b \log a $
on left side

anonymous · Answer

9x-2 log ( 125 ) = log ( 150 ) is that right so far ?

anonymous · Answer

@hartnn

hartnn · Answer

yes it is 
but don't forget the brackets
(9x-2) log 125 = log 150

hartnn · Answer

i think now you can isolate the 'x'

anonymous · Answer

but couldnt it also be log base 125 ^ 150 = 9x-2 ?

anonymous · Answer

@hartnn

hartnn · Answer

yes, it could be 
you have used change of base formula

hartnn · Answer

$9x-2 = \log_{125}150$
add 2 and then divide by 9

anonymous · Answer

so log 150 / log 125 = 9x - 2 ?

anonymous · Answer

i got .337 /.\ is that right ?

hartnn · Answer

yeah i get that too
weird answer :O

anonymous · Answer

thank you soo muuch ! (:

hartnn · Answer

welcome ^_^