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Q. If \( (2^3)^2 = 4^x \), find \( 3^x \)
(a) 3 (b) 6 (c) 9 (d) 27
тЬПя╕П Solution
\( (2^3)^2 = 2^6 \)
\( 4^x = (2^2)^x = 2^{2x} \)
\( 2^6 = 2^{2x} \)
\( 6 = 2x \)
\( x = 3 \)
\( 3^x = 3^3 \)
\( = 27 \)
Correct Option: (d) 27
\( \boxed{27} \)