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3( (27)/(8) ) ^{ (2)/(3) x - 1} =2( (32)/(243) ) ^{ {2} x }
I need help with this ASAP​

Help 3( (27)/(8) ) ^{ (2)/(3) x - 1} =2( (32)/(243) ) ^{ {2} x } I need help with-example-1
User KumarA
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\huge\fbox{Answer ☘}


\bold{3( (27)/(8) ) {}^{ (2)/(3) * - 1} = 2( (32)/(243) ) {}^(2x) }\\ \\3(( (3)/(2) ) {}^(3) ) {}^{ (2)/(3) * - 1 } = 2(( (2)/(3) ) {}^(5) ) {}^(2x) \\\\ 3( (3)/(2) ) {}^(2 * - 1) = 2( (2)/(3) ) {}^(10x) \\\\ 3( (2)/(3) ) {}^(2) = 2( (2)/(3) ) {}^(10x) \\\\ </p><p>3( (4)/(9) ) = 2( (4)/(9) ) {}^(5x) \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x = (1)/(5) }

hope helpful~

User Louis Cypher
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