SOLUTION: log10(x+1) - log10(x-6)= 1

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Question 841359: log10(x+1) - log10(x-6)= 1
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+10%2C+x%2B1+%29+-+log%28+10%2C+x-6+%29+=+1+
+log%28+10%2C+%28x%2B1%29%2F%28x-6%29+%29+=+1+
Now make the substitution
+1+=+log%28+10%2C+10+%29+
+log%28+10%2C+%28x%2B1%29%2F%28x-6%29+%29+=+log%28+10%2C10+%29+
+%28+x%2B1+%29%2F%28+x-6+%29+=+10+
+x+%2B+1+=+10x+-+60+
+9x+=+61+
+x+=+61%2F9+
-------------
check:
+log%28+10%2C+x%2B1+%29+-+log%28+10%2C+x-6+%29+=+1+
+log%28+10%2C+61%2F9+%2B+1+%29+-+log%28+10%2C+61%2F9+-+6+%29+=+1+
+log%28+10%2C+6.7778+%2B+1+%29+-+log%28+10%2C+6.7778+-+6+%29+=+1+
+log%28+10%2C+7.7778+%29+-+log%28+10%2C+.7778+%29+=+1+
+.89085+-+%28+-.10914+%29+=+1+
++.99999+=+1+
close enough