Question

Despejar la x ?
(4^x-3) (8^x-1) = 16

Answer 1

• $\left ( 4^{x-3} \right) \left ( 8 ^{x-1} \right ) = 16$

• $\left ( {(2^{2})}^{x-3} \right ) \left ( { (2^{3} )}^{x-1} \right ) = 16$

• $\left ( 2 ^{ 2x - 6 } \right ) \left ( 2 ^{ 3x - 3} \right ) = 16$

• $2 ^{ (2x - 6) + (3x - 3) } = 16$

• $2 ^{ 5x -9 } = 2^4$

• $5x - 9 = 4$

• $5x = 13$

• $\boxed{ x = \dfrac{13}{5} }$