10
QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 10 • Mathematics III

What is the value of x if 5 raised to the x plus 2 power is equal to 5 to the 9th power ?

Answer
A
x is equal to 7
B
x is equal to negative 7
C
x is equal to negative 11
D
x is equal to 11

Explanation

Both sides have the same base, 5, so their exponents must be equal: x + 2 = 9. Subtracting 2 gives x = 7, so the correct choice is “x is equal to 7.”

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