Question

Rezolvati in multimea numerelor reale ecuatia : 3 la x +3 la x+2=10

Answer 1

${3}^{x} + {3}^{x} + 2 = 10$

$il \: notam \: pe \: {3}^{x} \: cu \: t.$

$t + t + 2 = 10$

$t + t = 10 - 2$

$2t = 8$

$t = \frac{8}{2}$

$t = 4$

${3}^{x} = t$

${3}^{x} = 4$

$x = log_{3}(4)$

Answer 2

3ˣ + 3ˣ + 2 = 10

3ˣ + 3ˣ = 8

3ˣ (1 + 1) = 8

2 × 3ˣ = 8

3ˣ = 4

x = ㏒₃4