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Please help me for 15 points if you don't know please don't try to comment wrong answer-example-1

1 Answer

9 votes

Answer:

x=0 , x=-3

Explanation:

Apply all exponent rules:


3^(x+3) =
3^(x)×
3^(3)


(1)/(3^(x) ) =
(3^(x) )^(-1)

Rewrite equation with
3^(x)= u


u ×
3^(3) +
u^(-1) - 28 = 0

Solve for u to give :

u = 1, u = 1/27

Substitute back u =
3^(x), solve for x :


3^(x) = 1 , x= 0


3^(x)= (1)/(27) , x= -3
x=0 , x=-3

Substituting x back into original equation verifies our answers

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