Question

If logx – log(2x – 3) = 1, then x

Answer 1

Step-by-step explanation:

$log(x) - log(2x - 3) = 1 \\ log( \frac{x}{2x - 3} ) = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\frac{x}{2x - 3} = 10$

$x = 20x - 30 \\ x = \frac{30}{19}$