SOLUTION: Solve log4 (m+2)-log4 (m-5)=log4 8

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Question 990331: Solve log4 (m+2)-log4 (m-5)=log4 8
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
log%284%2C%28m%2B2%29%29 - log%284%2C%28m-5%29%29 = log%284%2C8%29

is

%28m%2B2%29%2F%28m-5%29 = 8.

So,  then

m + 2 = 8*(m-5), . . .

Would you complete it yourself?




Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+4%2C+%28m%2B2%29+%29+-+log%28+4%2C+%28m-5%29+%29+=+log%28+4%2C8+%29+
+log%28+4%2C+%28%28m%2B2%29%2F%28m-5%29%29+%29+=+log%28+4%2C8+%29+
+%28m%2B2%29%2F%28m-5%29+=+8+
+m%2B2+=+8%2A%28m-5%29+
+m+%2B+2+=+8m+-+40+
+7m+=+42+
+m+=+6+
--------------
check:
+log%28+4%2C+%28m%2B2%29+%29+-+log%28+4%2C+%28m-5%29+%29+=+log%28+4%2C8+%29+
+log%28+4%2C+%286%2B2%29+%29+-+log%28+4%2C+%286-5%29+%29+=+log%28+4%2C8+%29+
+log%28+4%2C+8+%29+-+log%28+4%2C+1+%29+=+log%28+4%2C8+%29+
+2%2F3+-+0+=+2%2F3+
+2%2F3+=+2%2F3+
OK