Question

Find the value of x for the given equation:
3^x + 3^x+1 = 36​

Answer 1

ANSWER:

$x = 2$

EXPLANATION:

${3}^{x} + {3}^{x + 1} = 36$

$3^{x} (1 + 3) = 36$

${3}^{x} (4) = 36$

${3}^{x} = \frac{36}{4}$

${3}^{x} = 9$

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

$comparing \: powers$

$x = 2$

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