log5(125x+75y) 

Rukiyah Smith

Rukiyah Smith

Answered question

2022-09-07

log5(125x+75y)
 

Answer & Explanation

star233

star233

Skilled2023-05-29Added 403 answers

To simplify the expression log5(125x+75y), we need to apply the properties of logarithms.
First, we can rewrite 125x+75y as 25(5x+3y) since both 125 and 75 are divisible by 25.
Now, we can rewrite the expression as log5(25(5x+3y)).
Using the logarithmic property logb(xy)=logb(x)+logb(y), we can split the logarithm:
log5(25)+log5(5x+3y).
Since logb(b)=1, we have log5(25)=2.
Therefore, the simplified expression is:
2+log5(5x+3y).

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