SOLUTION: Solve {{{ log( 6, (5-2a) ) - log(6, (3a) ) =1 }}}

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Question 609198: Solve +log%28+6%2C+%285-2a%29+%29+-+log%286%2C+%283a%29+%29+=1+
Found 2 solutions by lwsshak3, ewatrrr:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log( 6, (5-2a) ) - log(6, (3a) ) =1
place under single log
log6[(5-2a)/3a]=1
convert to exponential form
6^1=(5-2a)/3a=6
5-2a=18a
20a=5
a=5/20=1/4

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

+log%28+6%2C+%285-2a%29+%29+-+log%286%2C+%283a%29+%29=log%28+6%2C+%285-2a%29%2F3a+%29++=1+ 

 (5-2a)/3a = 6

  18a = 5-2a

  20a =5

    a = 1/4