(9^x-4)(9^3x+2)=9^10

asked Jan 8, 2023 181k views

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7 votes

Answer: x=3

Explanation:

$\displaystyle\\(9^(x-4))(9^(3x+2))=9^(10)\\\\9^(x-4+3x+2)=9^(10)\\\\9^(4x-2)=9^(10)\\\\4x-2=10\\\\4x-2+2=10+2\\\\4x=12$

Divide both parts of the equation by 4:

x=3

Chinh Nguyen answered Jan 14, 2023

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