Question

Solve:- $4^{x-2}-2^{x+1}=0$

• A. -5
• B. 6
• C. 5
• D. -6

Answer 1

The correct option is C

5

Given,

$4^{x-2}-2^{x+1}=0$

$\Rightarrow 4^{x-2}=2^{x+1}$

$\Rightarrow (2^2{)}^{x-2}=2^{x+1}$

$\Rightarrow 2^{2x-4}=2^{x+1}$ $[\because (a^m{)}^n=a^{mn}]$

Since the bases are equal, exponents must also be equal.

$\Rightarrow 2x-4=x+1$

$\Rightarrow x=5$