If \( \Large 3^{x}-3^{x-1}=18 \), then the value of \( \Large x^{x} \) is equal to
Correct Answer: Description for Correct answer:
Given : \( \Large 3^{x}-3^{x-1}=18 \)
=> \( \Large 3^{x}-\frac{3x}{3}=18 \)
=> \( \Large 2.3^{x}=54 \)
=> \( \Large 3^{x}=27=3^{3} \)
=> x = 3
\( \Large \therefore x^{x}=3^{3}=27 \)
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