Question

log x (4x-3) = 2 solve the following equations​

Answer 1

Hi mate ,let the base be x then solve you get x= 1,3 .

Answer 2

given, $log_x(4x-3)$ = 2

or, 4x - 3 = x²

or, x² - 4x + 3 = 0

or, x² - 3x - x + 3 = 0

or, x(x - 3) -1(x - 3) = 0

or, (x - 1)(x - 3) = 0

or, x = 1, 3

for log to be defined,

4x - 3 > 0

or, x > 3/4

hence, x = 1 and 3, both are solutions of given equation.

hence, answer is 1 and 3.