Question

Which logarithm is equivalent to log3^10 – log3^2?

Answer 1

`log_(3)(10) - log _(3) (2)`

Apply log rule:


`log _(c)(a)-log _(c) (b) = log _(c) ( (a)/(b) )`


`log _(3) (10)-log _(3) (2) = log _(3) ( (10)/(2) )`


`log _(3) ( (10)/(2) )`

Divide 10 by 2 :


`log _(3) (5)`

hope this helps!