Hello! can i get some with calculus ? #14 and #18. don't forget to show your work. i appreciate the !

14. 5log3(x) -2log3(y)

18. ln(x+1) -2ln(x)

Step-by-step explanation:

The relevant rules of logarithms are ...

log(ab) = log(a) +log(b)

log(a^b) = b·log(a)

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14. Applying the first rule gives ...

log3(x^5) +log3(y^-2)

Applying the second rule gives ...

5·log3(x) -2·log3(y)

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18. The log of a sum cannot be simplified. We can make this be a simpler expression so that the log of it will be fairly simple.

ln(1/x +1/x^2) = ln(x/x^2 +1/x^2) = ln((x+1)/x^2)

Now, we can apply rule 1 to get ...

ln(x+1) +ln(1/x^2)

and applying rule 2 gives ...

ln(x+1) -2ln(x)

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1