Question

3^(2x+1)+3^(2)=3^(x+3)+3^(x)

Answer 1

Answer:

x = −23

Explanation:

Use aman=am+n.

3−2x+1−2x−3=3−x

Compare exponents. −4x−2=−x

x =−23.

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Answer 2

${3}^{2x + 1} + {3}^{2} = {3}^{x + 3} + {3}^{x} \\ \\ \implies \: likes \: terms \: together \\ \\ \implies \: {3}^{2x + 1} - {3}^{x + 3} - {3}^{x} = {3}^{2} \\ \\ \implies \: {(3)}^{2x + x + 1 + 3 - x} = {3}^{2} \\ \\ \implies {(3)}^{2x + 4 + 2 } </h3><p> \\ \\ = \huge{ \red{ {3}^{2x + 6} }}$