SOLUTION: 3log2t-logt=log16+logt

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3log2t-logt=log16+logt      Log On


   



Question 1030925: 3log2t-logt=log16+logt
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2Alog%282t+%29+-+log%28+t+%29+=+log%28+16+%29+%2B+log%28+t+%29+
+3%2Alog%28+2t+%29+=+log%2816+%29+%2B+2%2Alog%28+t+%29+
+3%2A%28+log%282%29+%2B+log%28+t+%29+%29+=++log%2816+%29+%2B+2%2Alog%28+t+%29+
+3%2Alog%282%29+%2B+3%2Alog%28t%29+=+log%2816%29+%2B+2%2Alog%28t%29+
+log%28+2%5E3+%29+%2B+log%28t%29+=+log%2816%29+
+log%28t%29+=+log%2816%29+-+log%288%29+
+log%28t%29+=+log%28+%2816%2F8%29+%29+
+log%28t%29+=+log%282%29+
+t+=+2+
-------------------
check answer:
+3%2Alog%282t+%29+-+log%28+t+%29+=+log%28+16+%29+%2B+log%28+t+%29+
+3%2Alog%282%2A2+%29+-+log%28+2+%29+=+log%28+16+%29+%2B+log%28+2+%29+
+3%2Alog%284%29+=+log%2816%29+%2B+2%2Alog%282%29+
+3%2Alog%284%29+=+log%284%5E2%29+%2B+log%282%5E2%29+
+3%2Alog%284%29+=+2%2Alog%284%29+%2B+log%284%29+
+3%2Alog%284%29+=+3%2Alog%284%29+
OK