Question

5^2x + 5 = 6.5^x

Tentukan nilai x

Answer 1

5^2x + 5 = 6. 5^x
=> (5x)² - 6(5x) + 5 = 0
Misal : 5x = y
=> y² - 6y + 5 = 0
(y-1)(y-5) = 0
y = 1 atau y = 5

y = 1
5x = y
5x = 1
x = 1/5

y = 5
5x = y
5x = 5
x = 1

=> {1/5, 1}