Question

$3 {}^{x} + 3 {}^{x + 2 } = 24$

help pls
dau funda
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Answer 1

Răspuns:

x = log₃(12/5)

Explicație pas cu pas:

3ˣ + 3ˣ⁺² = 24 <=>

3ˣ + 3²·3ˣ = 24 <=>

3ˣ·(1+9) = 24 <=>

3ˣ·10 = 24   I:2 =>

5·3ˣ = 12 =>

3ˣ = 12/5 =>

log₃3ˣ = log₃(12/5) =>

x = log₃(12/5)