Question

( x - 3 ) ¹²⁶  =  4 ⁵⁰ . 8 ⁸ . 2 ²

Answer 1

\(\left(x-3\right)^{126}=4^{50}.8^8.2^2\)

\(\left(x-3\right)^{126}=2^{100}.2^{24}.2^2\)

\(\left(x-3\right)^{126}=2^{126}\)

\(\Rightarrow x-3=2\)

\(\Rightarrow x=2+3\)

\(\Rightarrow x=5\)

Answer 2

(x - 3)¹²⁶ = 4⁵⁰ . 8⁸ . 2²

(x - 3)¹²⁶ = (2²)⁵⁰ . (2³)⁸ . 2²

(x - 3)¹²⁶ = 2¹⁰⁰  . 2²⁴ . 2²

(x - 3)¹²⁶ = 2^100+24+2

(x - 3)¹²⁶ = 2¹²⁶

x - 3        = 2

x             = 2 + 3

x             = 5