SOLUTION: Find all solutions for x log3 4 - log3 x =2

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Question 472944: Find all solutions for x
log3 4 - log3 x =2

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C+4%29-+log%283%2C+x%29+=2
Use formula log%28c%2Ca%29-log%28c%2Cb%29=log%28c%2C+%28a%2Fb%29%29
log%283%2C+%284%2Fx%29%29+=2
Use log%28c%2Ca%29=b <=> a=c%5Eb
4%2Fx=3%5E2
4%2Fx=9 multiply by x
4=9xdivide by 9
x=4%2F9