SOLUTION: express as (all three) a sum, difference and product of logarithms, without using exponents log(b)sqrt(x^3y^2/z^9)

The 3 manipulative rules of logarithms which you need are

(a)    

(b)    

(c)    

You will also need the rule

(d)    





First we use rule (d) and rewrite the above as

 

Next we use rule (c)



Next we use rule (b)



Next we use rule (a)



Next we use rule (c) on all three terms in the
parentheses:



Distribute the 



Edwin