SOLUTION: Solve the logarithmic equation. Please show all of your work. 2log4(x+3)=2

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Question 569080: Solve the logarithmic equation. Please show all of your work.
2log4(x+3)=2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%2Alog%28+x+%2B+3+%29+=+2+
+log%28+x+%2B+3+%29+=+1+
Make substitution +1+=+log%2810%29+
+log%28+x+%2B+3+%29+=+log%28+10+%29+
+x+%2B+3+=+10+
+x+=+7+
check:
+2%2Alog%28+7+%2B+3+%29+=+2+
+2%2Alog%28+10+%29+=+2+
+2%2A1+=+2+
+2+=+2+
OK