Question

$108 \times 192 = 16 \times {6} {}^{2x} \\ find \: x$
plz plz​

Answer 1

108 × 192 = 16 × 6²ˣ

⇒ (108 × 192)/16 =  6²ˣ

⇒ 108×12 =  6²ˣ

⇒ 1296 = 6²ˣ

⇒ 6⁴ = 6²ˣ

⇒ 4 = 2x (Bases are equal)

⇒ 2x = 4

⇒ x = 4/2

⇒ x = 2

So, the value of x is 2.

(Ans): 2.

Answer 2

Answer:

108 × 192 = 16 × 6²ˣ

⇒ (108 × 192)/16 =  6²ˣ

⇒ 108×12 =  6²ˣ

⇒ 1296 = 6²ˣ

⇒ 6⁴ = 6²ˣ

⇒ 4 = 2x (Bases are equal)

⇒ 2x = 4

⇒ x = 4/2

⇒ x = 2

So, the value of x is 2.