SOLUTION: please help me solve this equation log base6(12) + log base 6(3) = (2/3)x log base6(36)= (2/3)x

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Question 847916: please help me solve this equation
log base6(12) + log base 6(3) = (2/3)x
log base6(36)= (2/3)x
Found 2 solutions by ewatrrr, rothauserc:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

log base6(12) + log base 6(3) = (2/3)x

log base6(36)= (2/3)x  

%283%2F2%29log%286%2C36%29+=+x

+log%286%2C36%5E%283%2F2%29%29+=+x   

+log%286%2C%286%5E2%29%5E%283%2F2%29%29+=+x        %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

+log%286%2C6%5E3%29=+x    

         6^x = 6^3

           x = 3















a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29  

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29

root%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29

%28xy%29%5En+=+x%5En%2Ay%5En

x%5E%281%2Fn%29+=+root%28n%2Cx%29   , x%5E%28m%2Fn%29+=+%28root%28n%2Cx%29%29%5Em

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
log base6(12) + log base 6(3) = (2/3)x
use property of multiplying like base logs
log base6(36)= (2/3)x
note that log base6 (36) = 2
2 = (2/3) x
x = 3