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

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

asked
User Lagarkane
by
7.1k points

1 Answer

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

answered
User Chinh Nguyen
by
8.4k points
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