Question

Cara nyelesaiin nya gimana?
5 pangkat 2x + 3 × 5 pangkat 2(x-1) = 140
pakai cara persamaan eksponensial y ke 8.

Answer 1

Jawab: 5^2x + 3.5^2(x-1) = 140
=> 5^x.2 + 3.5^(2x - 2) = 140
=> (5^x)^2 + 3.5^2x.5^-2 = 140 mis: 5^x = p
=> p^2 + 3p^2/5^2 = 140
=> p^2 + 3/25 p^2 = 140
=> 25/25 p^2 + 3/25 p^2 = 140
=> 28/25 p^2 = 140
=> p^2 = 5.25 = 5^3, dimana p = 5^x
=>  5^x^2 = 5^3
=> 5^2x = 5^3
=> 2x = 3
=> x = 3/2