log7x+log7(x-2)=log7 24

Question

log x+log (x-2)=log 24

    7       7             7

Answer 1

x(x - 2) = 24

 

x² - 2x = 24

 

x² - 2x - 24 = 0

 

factor:

 

(x + 4)(x - 6) = 0

 

x = -4 or 6. But, you can't use negative for logarithm. So, x = 6