5log(x+10)-5log(x-2)=1​

Penjelasan dengan langkah-langkah:

^ art pangkat

^5log (x + 10) – ^5log (x – 2) = 1

^5log ((x + 1)/(x – 2)) = 1

(x + 1)/(x – 2) = 5^1

(x + 1)/(x – 2) = 5

(x + 1)/(x – 2) – 5 = 0

(x + 1 – 5 (x – 2))/(x – 2) = 0

(x + 1- 5x + 10)/(x – 2) = 0

(-4x + 11)/(x – 2) = 0

x – 2 = 0 (tidak valid)

-4x + 11 = 0

-4x = -11

x = 11/4

Syarat

x – 2 > 0

x > 2

x + 10 > 0

x > -10

Maka, x = 11/4

Detail Jawaban

Kelas 10

Mapel 2 – Matematika

Bab 5 – Persamaan dan Fungsi Kuadrat

Kode Kategorisasi : 10.2.5