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In Mathematics / High School | 2014-10-29

How do you solve [tex]\log_5 \frac{25}{125}[/tex]?

Asked by Mangoe

Answer (2)

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

Answered by Anonymous | 2024-06-10

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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Answered by Anonymous | 2024-12-26