Advanced MathMediumExponential equation with a product of powers
Advanced Math practice question
If 5^x · 5^(x + 1) = 5^9, what is the value of x?
Answer: 4
Add the exponents: 5^(2x + 1) = 5^9, so 2x + 1 = 9 and x = 4.
Common wrong answers
- If you answered 5
- 5 comes from 2x = 9 + 1, adding the 1 instead of subtracting it.
- If you answered 8
- 8 is 2x, the value before dividing by 2.
- If you answered 9
- 9 is the exponent on the right side, not x.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.