SOLUTION: use algebraic procedures to find the exact solution or solutions of the equation. quest. 31.) log(5x - 1) = 2 + log(x - 2)

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Question 1052013: use algebraic procedures to find the exact solution or solutions of the equation.
quest. 31.)
log(5x - 1) = 2 + log(x - 2)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28%28+5x+-+1+%29%29+=+2+%2B+log%28%28+x+-+2+%29%29+
Express +2+ as a log
+log%28%28+5x+-+1+%29%29+=+log%28%28+100+%29%29+%2B+log%28%28+x-2+%29%29+
+log%28%28+5x+-+1+%29%29+=+log%28%28+100%2A%28+x+-+2+%29+%29%29+
+5x+-+1+=+100%2A%28+x-2+%29+
+5x+-+1+=+100x+-+200+
+95x+=+199+
+x+=+199%2F95+
+x+=+2.0947+
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Check answer:
+log%28+5%2A%28199%2F95%29+-+1+%29+=+2+%2B+log%28+199%2F95+-+2+%29+
+log%28+199%2F19+-+19%2F19+%29+=+2+%2B+log%28+199%2F95+-+190%2F95+%29+
+log%28+180%2F19+%29+=+2+%2B+log%28+9%2F95+%29+
+log%28+180+%29+-+log%28+19+%29+=+2+%2B+log%28+9+%29+-+log%28+95+%29+
+2.2553+-+1.2788+=+2+%2B+.9542+-+1.9777+
+.9765+=+.9765+
OK