MCQ
If $3^x = 6561,$ then $3^{x-3} =$
  • A
    $81$
  • $243$
  • C
    $729$
  • D
    $27$

Answer

Correct option: B.
$243$

$3^x = 6561$
$\Rightarrow 3^x = 3^8$
Comparing the exponent of both the sides, we get:
$x = 8$
Now, $3^{x-3} = 3^{8-3}$
$= 3^5 = 243$
Hence, the correct alternative is option $(b)$.

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