Question

$solve for x : 3 {}^{x + 1 = 27 \times 3 {}^{4} }$
​

Answer 1

${\large{\boxed{\underline{\textsf{\textbf{\color{magenta}{★Aɴsᴡᴇʀ»}}}}}}}$

To Solve:

3ˣ+¹ = 27 × 3⁴

Solⁿ:

» If we make the base same, then Question will be solved.

So,

${3}^{x + 1} = 27 \times {3}^{4} \\ \\ { \sf { can \: \: be \: \: written \: \: as}} \\ \\ { \sf{{3}^{x +1} = {3}^{3} \times {3}^{4}}} \\ \\ { \sf{x + 1 = 3 + 4 }}\\ \\ { \sf{x = 7 - 1}} \\ \\ { \boxed{ \purple{ \sf{x = 6}}}}$

HOPE IT HELPS

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