SOLUTION: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Laws

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Question 197009This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Laws of Logarithms
Express as a logarithm of a single number or expression
1 - 3 log base 5 of x
This question is from textbook Algebra and Trigonometry Structure and Method book 2

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Rewrite "1" as


Note: where .


Rewrite the second log using the identity


Combine the logs using the identity


So where



Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Express as a logarithm of a single number or expression
1 - 3 log base 5 of x
-----------------
1 - log(base5)x^3
---
1 = log(base5)5
---
Substitute to get:
log(base5)5 - log(base5)x^3
Combine:
= log(base5)[5/x^3]
===========================
Cheers,
Stan H.

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