Question

Section-d question-1

Answer 1

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Answer 2

Answer:

$2( {3}^{x} - {3}^{x - 1} ) = 324 \\ = > 2( {3}^{x} - {3}^{x} \div 3) = 324 \\ let \: {3}^{x} be \: y \\ \\ = > 2(y - y \div 3) = 324 \\ = > y - y \div 3 = 162 \\ = > 3y - y = 486 \\ = > 2y = 486 \\ = > y = 243$

Therefore,

3^x = 243

=> 3^x = 3^5

=> x= 5

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