# SOLUTION: Solve: 8^(4x-3)= 1/16, find the exact answer.

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 Click here to see ALL problems on logarithm Question 34528: Solve: 8^(4x-3)= 1/16, find the exact answer.Found 2 solutions by venugopalramana, josmiceli:Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!8^(4x-3)= 1/16, (2^3)^(4X-3)=1/(2^4)=2^(-4) 2^(12X-9)=2^(-4) 12X-9=-4 12X=-4+9=-5 X=-5/12 find the exact answer. Answer by josmiceli(9697)   (Show Source): You can put this solution on YOUR website! note that multiply both sides by 8^3 take log base 10 of both sides note that check this by subbing in the original equation I get this is true- checks ------------------ note also- this is a more "exact" answer, since there is no rounding to a certain number of decimal points