# Expand the expression: ln 8/5x

## Answers

[tex]ln(\frac{8}{5x} )=ln(8)-ln(5)-ln(x)[/tex]

Step-by-step explanation:

Use the properties of logarithms on each step:

First use the property for the logarithm of a quotient:

[tex]ln(\frac{a}{b} )=ln(a)-ln(b)[/tex]

So we get: [tex]ln(\frac{8}{5x} )=ln(8)-ln(5x)[/tex]

Now, we can expand the last term using the property of logarithm of a product:

[tex]ln(a\,*\,b)=ln(a)+ln(b)[/tex]

Therefore we write [tex]ln(5x)=ln(5)+ln(x)[/tex]

No we insert this result in the subtraction we had before:

[tex]ln(\frac{8}{5x} )=ln(8)-ln(5x)=ln(8)-(ln(5)+ln(x))=ln(8)-ln(5)-ln(x)[/tex]

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

I’m not sure about that