8
QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 8 • Math 4

Which equation is equivalent to 4 raised to the x plus 3 power is equal to 64 ?

Answer
A
2 raised to the x plus 6 power is equal to 2 to the 4th power
B
4 raised to the x plus 3 power is equal to 4 to the 6th power
C
2 raised to the 2 x plus 6 power is equal to 2 to the 6th power
D
4 raised to the 2 x plus 6 power is equal to 4 squared

Explanation

Rewrite each side using base 2: 4^(x+3) = (2^2)^(x+3) = 2^(2x+6), and 64 = 2^6. So the equivalent equation is 2^(2x+6) = 2^6, which is choice C.

AI-written and checked against the verified answer.

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