Advanced MathEasy–MediumSum of exponents from two separate exponential equations
Advanced Math practice question
If 3ˣ = 81 and 2ʸ = 32, what is the value of x + y?
Answer: 9
81 = 3⁴ gives x = 4, and 32 = 2⁵ gives y = 5. So x + y = 9.
Common wrong answers
- If you answered 1
- 1 is 5 − 4.
- If you answered 20
- 20 is 4 × 5, the product of the exponents.
- If you answered 113
- 113 is 81 + 32, adding the values instead of the exponents.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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