Question

Use the Laws of logarithms to rewrite the expression ln(x^3 sqrt(y^4/z^10))

in a form with no logarithm of a product, quotient or power.
After rewriting we have

A ln(x)+B ln(x)+C ln(x)
What is A B and C?

Answer 1

We can start to take it apart using the law of logs.

ln x^3 + 1/2 ln(y^4 - z^10)
3lnx + 1/2 (4)(lny)-1/2 (10) ln z

Can you finish from here.

Remember exponents become multiplications

Multiplications can be changed to additions

and
Divisions can be changed to subtractions.