Step-by-step explanation:
log4(x) + log4(x - 12) = 3
log4[x(x - 12)] = log4(4³)
=> x(x - 12) = 4³
=> x² - 12x = 64
=> x² - 12x - 64 = 0
=> (x - 16)(x + 4) = 0
=> x = 16 or x = -4 (rejected as log of a negative number is undefined)
Hence x = 16.
