Solution for Problem 4.5.2

Write in terms of the logarithms of x, y, and z

We want to write the expression such that the variables are as isolated as possible.

Solve

            Step

Recall:  Convert radicals into exponents

Replace radicals
Exponents turn into multiplication
Take care of multiplication next 
multiplication turns into addition
Do  log b y3 = 3 log b y next
Distribute 1/4 through ( ) 
All variables are isolated

Properties

log b M p = p log b M log b MN = log b M + log b N
log b M p = p log b M