Question

4*4x-1. - 16*x-1 = 384 ,find X

Answer 1

Answer:

Step-by-step explanation:

4^2x-1 - 16^x-1 = 384

=) 4^2x-1 - (4)^2 (x-1) = 384

=) 4^2x-1 - 4^2x-2 = 384

=) 4^2x-1 ( 1 - 4^-1 ) = 384

=) 4^2x-1 ( 1 - 1/4 ) = 384

=) 4^2x-1 { (4-1) / 4 } = 384

=) 4^2x-1 (3/4) = 384

=) 4^2x-1 = 384 × 4/3

=) 4^2x-1 = 512

=) 4^2x-1 = 2^9

=) (2)^2 (2x-1) = 2^9

=) 2^4x-2 = 2^9

=) 4x-2 = 9

=) 4x = 9+2

=) 4x = 11

=) x = 11/4

Hence, the value of x is 11/4.

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