Question

2^x+1-4^x-3=0 find x

Answer 1

$\underline{ \large{ \text{Answer}}} :$

$\text{Now,} \: {2}^{ \text{x + 1}} - {4}^{ \text{x - 3}} = 0 \\ \\ \to {2}^{ \text{x + 1}} = {2}^{ \text{2(x - 3)}} \\ \\ \to \text{x + 1 = 2x - 6} \\ \\ \to \text{2x - x = 1 + 6} \\ \\ \to \boxed{ \text{x = 7}}$

$\bigstar \: \underline{ \large{ \text{MarkAsBrainliest}}} \: \bigstar$

Answer 2

$\large{\text{\underline{Given:}}}$ $\large{ {2}^{x} {}^{ + 1} - 4 {}^{x} {}^{ - 3} = 0}$


$⇒\large{\bold{ {2}^{x + 1} = {2}^{2(x - 3)} }}$


$⇒ \large{\bold{x + 1 = 2x - 6}}$


$⇒ \large{\bold{2x - x = 1 + 6}}$


$\large{\red{\fbox{x = 7}}}$