If 2^x = 3^y = 6^z = K , then the relationship between x, y, and z is given by:
If2x=3y=6z=K, then the relationship between x, y, and z is given by:
Select an option to attempt
Correct Answer: Option C
Explanation
Algebra with exponents: If2x=3y=6z=K, find the relationship between x, y, z:Express each base in terms of K using logarithms:2=K1/x,3=K1/y,6=K1/zSince6=2×3:K1/z=K1/x×K1/y=Kx1+y1Equating exponents:z1=x1+y1Verification:log6=log2+log3, sozlogK=xlogK+ylogK✔Answer:x1+y1=z1(Option 3).