solve for x round to the 4th decimal place

Question

log₃(5x)-log₃(6)=2

Answer 1

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)

Answer 2

Look before hitting your disapproval stamp. the  problem is , and answer is exactly equal to Derek's answer.