222k views
5 votes
The expression can be written in the form

The expression can be written in the form-example-1

1 Answer

1 vote

Answer:

  • A = 8
  • B = 19
  • C = -17

Explanation:

You want the values of A, B, C in A·log(x) +B·log(y) +C·log(z) = log(x^8y^19/z^17).

Rules of logarithms

It is helpful to remember that ...

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

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

Application


\log{\left((x^8y^(19))/(z^(17))\right)}=\log(x^8)+\log(y^(19))-\log(z^(17))\\\\=8\log(x)+19\log(y)-17\log{z}

A = 8, B = 19, C = -17

#95141404393

User Saurabh Manchanda
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories