Question

slove 4^[x+2]=2^[2x+3]+2​

Answer 1

$\huge \orange{ \overbrace{ \red{\underbrace \color{blue} {\underbrace \color{black}{\colorbox{lime}{ {\red \: {☘Answer ☘ }}}}}}}}$

✪QUESTION✪:-

solve 4^[x+2]=2^[2x+3]+2

✪ANSWER✪:-

➠${4}^{(x + 2)} = {2}^{(2x + 3)} + 2$

➠${2}^{ 2 \times (x + 2) } = {2}^{2x + 3} + {2}^{1}$

As the bases are equal ,equate the powers

➠$2(x + 2) = 2x + 3 + (1)$

➠$2x + 4 = 2x + 3 + (1)$

➠$2x + 3 = 2x + 3$

➠$\boxed{\sf{LHS =RHS}}$