Question

Tentukan himpunan penyelesaian dari persamaan
5log(x-3)+5log(2x-1)=1

Answer 1

5'log (x - 3)(2x - 1) = 1
(x - 1)(2x - 1) = 5
2x² - 3x - 4 = 0
(2x + 1)(x - 2) = 0
x = - 1/2 atau x = 2
tdk ada x yg memenuhi karena syarat log > 0

Answer 2

5log (x-3)(2x-1) = 1
5log (2x^2 - 7x + 3) = 1
2x^2 - 7x + 3 = 5^1
2x^2 - 7x + 3 - 5 = 0
2x^2 - 7x -2 = 0