SOLUTION: Solve log base 2 of 3x + log base 2 of 4 equals 5

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Question 735011: Solve log base 2 of 3x + log base 2 of 4 equals 5
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+2%2C3x+%29+%2B+log%28+2%2C4+%29++=+5+
Make this substitution:
+5+=+log%28+2%2C+32+%29+
+log%28+2%2C3x+%29+%2B+log%28+2%2C4+%29++=+log%28+2%2C32%29+
+log%28+2%2C+4%2A3x+%29++=+log%28+2%2C32+%29+
+12x+=+32+
+x+=+8%2F3+
-----------
check:
+log%28+2%2C3%2A%288%2F3%29+%29+%2B+log%28+2%2C4+%29++=+5+
+log%28+2%2C8+%29+%2B+log%28+2%2C4+%29++=+5+
+3+%2B+2+=+5+
+5+=+5+
OK