SOLUTION: Solve 5log(x-2)=11 Could you please explain the steps to solving this problem?

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Question 925852: Solve 5log(x-2)=11 Could you please explain the steps to solving this problem?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5%2Alog%28+x+-+2+%29+=+11+
Divide both sides by +5+
+log%28+x+-+2+%29+=+11%2F5+
Rewrite this as an exponential equation
+10%5E%2811%2F5%29+=+x+-+2+
Add 2+ to both sides
+x+=+10%5E2.2+%2B+2+
+x+=+158.489+%2B+2+
+x+=+160.489+
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check:
+5%2Alog%28+160.489+-+2+%29+=+11+
+5%2Alog%28+158.489+%29+=+11+
+5%2A2.2+=+11+
+11+=+11+
OK