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8^(3x-1)=2^8 Solve for x
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3 votes
8^(3x-1)=2^8 

Solve for x

User Yi Xiang Chong
by
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2 Answers

5 votes

8^(3x - 1) = 2^8 ; 8 = 2^3 \\ (2^3)^(3x-1) = 2^8 \\ 2^(9x-3) = 2^8 \\ 9x-3=8 \\ 9x=11 \\ x= (11)/(9)
User Serraosays
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8.3k points
7 votes

8^((3x-1))=2^8 \\\\ 2^(3(3x-1))=2^8 \\\\ 3(3x-1)=8 \\\\ 9x-3=8 \\\\ 9x=8+3 \\\\ 9x=11 \\\\ \boxed{x=(11)/(9)}
User Elham Azadfar
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8.5k points
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