SOLUTION: please help me solve this problem: log3(0.1)+2log3(x)= log3(2)+log3(5)

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Question 497241: please help me solve this problem: log3(0.1)+2log3(x)= log3(2)+log3(5)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Log%5B3%5D%280.1%29%2B2%2ALog%5B3%5D%28x%29+=+Log%5B3%5D%282%29%2BLog%5B3%5D%285%29 Apply the "product rule" for logarithms: Log%5Bb%5D%28M%29%2BLog%5Bb%5D%28N%29+=+Log%5Bb%5D%28M%2AN%29 and the "power rule": p%2ALog%5Bb%5D%28M%29+=+Log%5Bb%5D%28M%5Ep%29
Log%5B3%5D%280.1x%5E2%29+=+Log%5B3%5D%282%2A5%29 but...If Log%5Bb%5D%28x%29+=+Log%5Bb%5D%28y%29 then x+=+y so...
0.1x%5E2+=+2%2A5
x%5E2+=+10%2F0.1
x%5E2+=+100
x+=+10