How do you solve the equation for x: log( 2𝑥 − 17 ) = 2 − log x and how do you put it in set notation?

Answer 1

log(2x - 17) = 2 - log x

Take 10⁽⁾ of both sides.

2x - 17 = 10² 10^{-log x}

2x - 17= 100 [10^log(1/x)]

2x - 17 = 100 (1/x)

2x² - 17x - 100 = 0

Now solve this last equation using the quadratic formula and finish from here.