Question
27 of
100
Question Palette
If 3ˣ⁻ʸ = 27 and 3ˣ⁺ʸ = 243, then x is equal to:
Correct Option:
C
Explanation
The intended superscript notation is 3^{x-y}=27 and 3^{x+y}=243. Since 27=3^3, x-y=3. Since 243=3^5, x+y=5. Adding the equations gives 2x=8, so x=4.