Question

Please Find x Thank you with steps
${3}^{x + 1} + {3}^{x - 1} = 30$
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Answer 1

Answer:

x = 2

Step-by-step explanation:

$3^{x+1}$ + 3 = 30

Substitute the expression in terms of u:

u = $3^{x}$

Convert the equation in terms of u:

3u + $3^{-1}$ x u = 30

Solve the equation:

u = 9

Formulate new equations in terms of the original variable:

$3^{x}$ = 9

Convert both sides of the equation into terms with the same base:

$3^{x} = 3^{2}$

Based on the given conditions, corresponding, exponents are equal:

x = 2