Write the expression as a single logarithm

Question

2log₇(x+9)-log₇(x-4)-log₇(x-19)

Answer 1

2log₇(x+9) - log₇(x-4) - log₇(x-19)

 

= log₇(x+9)² - log₇(x-4) - log₇(x-19)

 

= log₇[(x+9)²/(x-4)] - log₇(x-19)

 

= log₇[(x+9)²/((x-4)(x-19))]