Question

resolve the ecuation
log2 (9-2x)+log2 x=2

Answer 1

log( ab )= log a + b

hence log{ x(9-2x) } = 2

or log(9x - 2x²) = 2

9x - 2x² = 4

2x² - 9x + 4 = 0

2x² - 8x - x + 4 = 0

(x-4) ( 2x -1) = 0

or x = 4 and x = 1/2