You can put this solution on YOUR website! 8^(t+1)=9^t
solve for t. give exact answer
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8^(t+1)=9^t
(t+1)log8=tlog9
(t+1)/t=log9/log8≈1.0566
t+1≈1.0556t
-.0556t≈1
t≈-1/.0566≈17.6678
With these numbers I don't think it is possible to get exact answers. Where did this requirement come from?