If 9 + (81)^x = 1/27^x-3 , find x

datgeni5quc

datgeni5quc

Answered question

2023-02-23

If 9 + ( 81 ) x = 1 / 27 x 3 , find x.

Answer & Explanation

Rigoberto Gordon

Rigoberto Gordon

Beginner2023-02-24Added 7 answers

9 × 81 x = 1 / 27 x 3
3 2 × 3 4 x = ( 1 / 3 ) 3 ( x 3 )
3 2 + 4 x = 3 [ 3 ( x 3 ) ]
Bases are equal. Exponents must be equal.
2 + 4 x = ( 3 x 9 )
2+4x = -3x+9
4x+3x = 9-2
7x = 7
x = 7/7
x = 1
Thus, the value of x is 1

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