Solving Exponential Equations by Rewriting the Base — Quiz
Question 5 • Mathematics III
If 3 raised to the 2 x plus 1 power is equal to 3 raised to the x plus 5 power , what is the value of x ?
Answer
A
3
B
4
C
6
D
2
Explanation
Both sides have the same base, 3, so their exponents must be equal: 2x + 1 = x + 5. Subtract x and then subtract 1 to get x = 4. The correct choice is 4.
AI-written and checked against the verified answer.