SOLUTION: PLEASE HELP ME........... IF 8^r=4^t,the ratio of r to t is

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Question 936988: PLEASE HELP ME...........
IF 8^r=4^t,the ratio of r to t is
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+8%5Er+=+4%5Et+
+%28+2%5E3+%29%5Er+=+%28+2%5E2+%29%5Et+
Use the rule that says:
+%28+a%5Eb+%29%5Ec+=+a%5E%28b%2Ac%29+
+2%5E%283r%29+=+2%5E%282t%29+
+3r+=+2t+
+r%2Ft+=+2%2F3+
------------------
check:
Take the tth root of both sides
of the problem
+8%5E%28r%2Ft%29+=+4%5E%28t%2Ft%29+
+8%5E%282%2F3%29+=+4+
+%28+2%5E3+%29%5E%282%2F3%29+=+4+
+2%5E2+=+4+
+4+=+4+
OK