log₅(25/125)
=log₅(1/5)
=log₅(1)-log₅(5)
=0-1
**=-1
**-------------------------------------------
USE:
log₅(x)-log₅(p)=log₅(x/p)
Remember that:
5⁰=1,
5¹=5
To solve lo g 5 125 25 , first simplify it to lo g 5 5 1 . This equals lo g 5 ( 1 ) − lo g 5 ( 5 ) = 0 − 1 = − 1 . Therefore, the final answer is − 1 .
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