Question

Tentukan himpunan penyelesaian dan persamaan eksponen berikut :


2. 3^2x + 10 = 5^2x + 10

Answer 1

Verified answer

Bab Eksponensial
Matematika SMA Kelas X

3²ˣ + 10 = 5²ˣ + 10
3²ˣ + 10 - 10 = 5²ˣ + 10 - 10
3²ˣ = 5²ˣ
log 3²ˣ = log 5²ˣ
2x log 3 = 2x log 5
2x log 5 - 2x log 3 = 0
2x (log 5 - log 3) = 0
2x = 0
x = 0

HP = { 0 }

atau

3²ˣ + 10 = 5²ˣ + 10
3²ˣ + 10 - 10 = 5²ˣ + 10 - 10
3²ˣ = 5²ˣ

aⁿ = bⁿ
n = 0, di mana a atau b ≠ 0

3²ˣ = 5²ˣ
2x = 0
x = 0

HP = { 0 }