Question

2 to the power x + 1 + 2 to the power x + 2 is equal to 48

Answer 1

$\textsf{\huge{\underline{ Hello Mate! }}}$

$\textsf{So, here we go for solution.}$

$= {2}^{x + 1 } + {2}^{x + 2} = 48$

$\textsf{Now, we know well that}$,

$a^{m+n} = a^m*a^n$

$= > {2}^{x} . {2}^{1} + {2}^{x} . {2}^{2} = 48 \\ \\ = > {2}^{x} (2 + 4) = 48 \\ \\ = > {2}^{x} \times 6 = 48 \\ \\ = > {2}^{x} = \frac{48}{6} \\ \\ = > {2}^{x} = 8 \\ \\ = > {2}^{x} = {2}^{3}$

$\textsf{On comparing we get that,}$

$\textsf{Value of x is 3.}$

$\textsf{\red{ Hence value of x is 3 }}$

$\textbf{ Have great future ahead! }$