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If \( \Large 3^{16} \times \left(2^{x}\right)^{2}=6^{16} \), then x is

A) 4
B) -4
C) -8
D) 8

Correct Answer:




D) 8

Description for Correct answer:
\( \Large 3^{16} \times \left(2^{x}\right)^{2} = 6^{16} = \left(3 \times 2\right)^{16} \)

=> \( \Large 3^{16} \times 2^{2x} = 3^{16} \times 2^{16} \)

=> \( \Large 2^{2x} = 2^{16} \)

=> \( \Large 2x = 16 \) \( \Large \left[ \because a^{m}=a^{n} => m=n \right] \)

Therefore, x = 8

Part of solved Rational expression questions and answers : >> Elementary Mathematics >> Rational expression

Comments

Similar Questions

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