solve log13xlog1312x11SolutionSolution log13xlog1312x11 log

solve.

log13x+log13(12x-1)=1

Solution

Solution:

log13x+log13(12x-1)=1

=> log13 x(12x-1) = 1

=> log13 x(12x-1) = log13 (13)

=> x(12x-1) 13

=> 12x^2 -x -13 = 0

=> x = {1 ± (1+4*12*13)} / 2*12

=> x = 26/24 and x = -24/24

=> x = 13/12 and -1