Question #5119c Algebra Expressions, Equations, and Functions Variable Expressions 1 Answer P dilip_k Nov 29, 2016 Let #3^x=7^y=63^z=k# So #3=k^(1/x)# #7=k^(1/y)# and #63=k^(1/z)# #=>3^2xx7=k^(1/z)# #=>(k^(1/x))^2xxk^(1/y)=k^(1/z)# #=>k^(2/x)xxk^(1/y)=k^(1/z)# #=>k^(2/x+1/y)=k^(1/z)# #=>2/x+1/y)=1/z# #=>(2y+x)/(xy)=1/z# #=>z(2y+x)=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 1154 views around the world You can reuse this answer Creative Commons License