Question

$the \: value \: of \: x \: when \: {2}^{x + 4} \times {3}^{x + 1} = 288 \: is \: \\ \\ a)1 \\ b) - 1 \\ c)0 \\ d)2$
please solve fast​

Answer 1

$\mathfrak{Solution :}$

$\implies \tt{ {2}^{x + 4} \times {3}^{x + 1} = 288} \\ \\ \implies \tt{ {2}^{x + 4} \times {3}^{x + 1} = {2}^{5} \times {3}^{2} } \\ \\ \tt{compare \: the \: value} \\ \\ \implies \tt{x + 4 = 5 \: or \: x + 1 = 2} \\ \\ \therefore \: \tt{x = 1}.$

Answer 2

Answer:

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