Question

Can anyone solve this?

Answer 1

$\underline{ \large{ \bf{question}}}$

Solve :

$\bf {3( {2}^{x} + 1) - {2}^{(x + 2) } + 5 = 0 }$

$\underline{ \large{ \bf{solution}}}$

$3( {2}^{x} + 1) - {2}^{x + 2} + 5 = 0 \\ \\ 3 \times {2}^{x} + 3 - {2}^{x} \times {2}^{2} + 5 = 0$

taking 2^x common

${2}^{x} (3 - {2}^{2} ) + 3 + 5 = 0 \\ \\ {2}^{x} ( - 1) + 8 = 0 \\ \\ - {2}^{x} = - 8 \\ \\ \cancel{ - } {2}^{x} = \cancel{ - }8 \\ \\ {2}^{x} = {2}^{3}$

Comparing LHS and RHS

we will get

$\boxed{ \bf{ x = 3}}$