Question

Find the value of x, if

(i) $3^x=81$

(ii) $2^{x-3}=1$

• A. $x=4,3$
  
• B. $x=3,4$
• C. $x=3,3$
• D. $x=1,1$

Answer 1

The correct option is A $x=4,3$


(i) $3^x=81$

$\Rightarrow 3^x=3^4$

$\Rightarrow x=4$


(ii) $2^{x-3}=1$

$\Rightarrow 2^{x-3}=2^0$

$\Rightarrow x-3=0\Rightarrow x=3$