SOLUTION: log2(3X-1)-1=log2x

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Question 1024741: log2(3X-1)-1=log2x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+2%2C+3x-1+%29+-+1++=+log%28+2%2C+x+%29+
Use the identity:
+1+=+log%28+2%2C2+%29+
Now you have:
+log%28+2%2C+3x-1+%29+-+log%28+2%2C2+%29++=+log%28+2%2C+x+%29+
+log%28+2%2C+%28+3x+-+1+%29%2F2+%29+=+log%28+2%2Cx+%29+
if the logs are equal, the quantities are equal
+%28+3x+-+1+%29%2F2+=+x+
+3x+-+1+=+2x+
+x+=+1+
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check answer:
+log%28+2%2C+3x-1+%29+-+1++=+log%28+2%2C+x+%29+
+log%28+2%2C+3%2A1-1+%29+-+1++=+log%28+2%2C1+%29+
+log%28+2%2C+2+%29+-+1+=+log%28+2%2C1+%29+
+1+-+1+=+0+
+0+=+0+