Question

${27}^{x - 2} = {81}^{2x + 1}$
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Answer 1

Answer:

- 2

Step-by-step explanation:

27^( x - 2 ) = 81^( 2x + 1 )

3^( 3 ) ( x - 2 ) = 3^( 4 ) ( 2x + 1 )

3^( 3x - 6 ) = 3^( 8x + 4 )

Since, the base is same, their powers are also same.

3x - 6 = 8x + 4

3x - 8x = 4 + 6

- 5x = 10

x = 10 / - 5

x = - 2