posted by Rachel on .
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?
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
Divisions can be changed to subtractions.