Does anyone know how to do this problem i need help it is?

Question

Assume that x, y, and z are positive numbers. Use the properties of Logarithms to write the expression log xy^3z^5 inn terms of the logarithms of x,y, and z?

Answer 1

log xy^3z^5
= log x + log y^3 + log z^5
= log x + 3 log y + 5 log z

Answer 2

The logarithm of the product = sum of the logs
ie logxy= logx +logy
Now, logx^n= nlogx
So here log xy^3z^5= logx+3logy+5logz

Answer 3

log x^n = n logx and log xy =log x +logy

so log y^3 = 3logy log z^5 = 5 log z

and final result log x y^3z^5 = log x+3 logy +5 logz