Question

Please help

Solve for x

$2x - 9 \times {2}^{x } = - 4$

Answer 1

$\textit{ \textbf{ Hello Mate! }}$

Error : ${2}^{x} - 9 \times {2}^{x} = - 4$

${2}^{x} - 9 \times {2}^{x} = - 4 \\ {2}^{x} (1 - 9) = - 4 \\ {2}^{x} \times ( - 8) = - 4 \\ {2}^{x} = \frac{ - 4}{ - 8} \\ {2 }^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1}$

On comparing both sides we get

x = - 1

$\boxed{ \textsf{ Hence,\:value\:of\:x\:is\:-1 }}$

$\texttt{ Have great future ahead! }$

Answer 2

Hello!

$\star \: \bf\small{ANSWER}$ :

$\boxed{\red{\bf{x = -1}}}$

$\star \: \bf\small{EXPLANATION}$ :

$\sf 2^{x}-9 \times \sf 2^{x} = -4 \\ \\ \implies \sf 2^{x}(1-9) = -4 \\ \\ \implies \sf 2^{x} \times (-8) = -4 \\ \\ \implies \sf 2^{x} = \dfrac{-4}{-8} \\ \\ \implies \sf 2^{x} = \dfrac{1}{2} \implies \bf{2^{x} = 2^{-1}}$

Cheers!