Question

find the value of x
plzz give pic as solution if possible​

Answer 1

Answer:

$\boxed{\huge{\sf x = 2}}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: integers: \\ \sf \implies {3}^{2x + 1} \div 9 = 27 \\ \\ \sf \implies \frac{ {3}^{2x + 1} }{9} = 27 \\ \\ \sf 9 = {3}^{2} : \\ \sf \implies \frac{ {3}^{2x + 1} }{ {3}^{2} } = 27 \\ \\ \sf \implies {3}^{(2x + 1) - 2} = 27 \\ \\ \sf \implies {3}^{2x + 1 - 2} = 27 \\ \\ \sf \implies {3}^{2x - 1} = 27 \\ \\ \sf 27 = {3}^{3} : \\ \sf \implies {3}^{2x - 1} = {3}^{3} \\ \\ \sf Equate \: exponents \: of \: 3 \: on \: both \: sides: \\ \sf \implies 2x - 1 = 3 \\ \\ \sf \implies 2x = 3 + 1 \\ \\ \sf \implies 2x = 4 \\ \\ \sf \implies x = \frac{4}{2} \\ \\ \sf \implies x = 2$