19 solve the logarithmic equation 2 log x log 4x40 1 0 x

19) solve the logarithmic equation

2 log x - log (4x-40) - 1 = 0

x=__________

(simplofy your answer. type an exact answer, using e as needed.)

Given logarithmic equation

2 log x - log (4x - 40) - 1 = 0

log x²- log (4x - 40) = 1

log (x²/(4x - 40)) = log 10

x²/(4x - 40) = 10

x² = 10(4x - 40)

x² - 40x + 400 = 0

x = 20, 20