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solve for x round to the 4th decimal place

log3(5x)-log3(6)=2

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Derek W. | Math and Engineering TutorMath and Engineering Tutor
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The base on the logarithm tells you what base you need when reversing the operation algebraically.
 
first combine the two logs 
log3(5x/6)=2
 
Then use base three to get rid of the logarithm
3^log3(5x/6)=3^2
5x/6=9
5x=54
x=10.8
 
you can check this on your calculator by the change of base formula
log3(5x)=ln(5x)/ln(3)