Find the value of x if \(\big[3^{2x-2}+10\big]\) ÷ 13 = 7.(a) 1 (b)

1.	Find the value of x if \(\big[3^{2x-2}+10\big]\) ÷ 13 = 7.(a) 1 (b) 3 (c) 4 (d) 2
Answer» (b) 3 \(\big[3^{2x-2}+10\big]\) ÷ 13 = 7. ⇒ 3^{2x – 2} + 10 = 7 × 13 = 91 ⇒ 3^{2x – 2} = 91 – 10 = 81 = 3⁴ ⇒ 2x –2 = 4 ⇒ 2x = 6 ⇒ x = 3.

Find the value of x if \(\big[3^{2x-2}+10\big]\) ÷ 13 = 7.(a) 1 (b) 3 (c) 4 (d) 2

Answer»

(b) 3

\(\big[3^{2x-2}+10\big]\) ÷ 13 = 7.

⇒ 3^{2x – 2} + 10 = 7 × 13 = 91

⇒ 3^{2x – 2} = 91 – 10 = 81 = 3⁴

⇒ 2x –2 = 4 ⇒ 2x = 6 ⇒ x = 3.