Question #aae31 Algebra Expressions, Equations, and Functions Variable Expressions 1 Answer Cesareo R. Jan 5, 2017 #z = 3+(log x)/(log(xy))# Explanation: #(xy)^z=(xy)^3x# now applying #log# to both sides #zlog(xy)=3log(xy)+log x# and grouping #(z-3)log(xy)=log x# and finally #z = 3+(log x)/(log(xy))# Answer link Related questions How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? What are variables? What are variable expressions? How do you write variable expressions? How do you evaluate variable expressions? How do you simplify the expression #3x-x+4#? How do you write a quotient of a number and 6 as an expression? How do you evaluate the expression #2x+1# for #x=1#? How do you write a product of a number and 2 as an expression? How do you write 5 less than 2 times a number as a variable expression? See all questions in Variable Expressions Impact of this question 1003 views around the world You can reuse this answer Creative Commons License