Question

What is the condensed form of `log_4 w = 1/2(log_4x + 5log_4y) + 2log_4z`?

Answer 1

`w=sqrt(x*z^2y^5)`

Explanation:

`log_4 x+5log_4 y=log_4x*y^5`
`log_4 w=1/2(log_4 x*y^5)+log_4z^2`
`log_4 w=log_4 sqrt(x*y^5)+log_4z`
`log_4 w=log_4z*sqrt(x*y^5)`
`w=sqrt(x*z^2y^5)`