Question

RESOLVA AS EQUAÇÕES EXPOTENCIAIS


A ) 64^x= 256

Answer 1

$\text{A) }64^{x}=256\\ \\ 64^{x}=2^{8}\\ \\ (2^{6})^{x}=2^{8}\\ \\ 2^{6x}=2^{8}\\ \\ \\ 6x=8\\ \\ x=\dfrac{8}{6}\\ \\ x=\dfrac{\diagup\!\!\!\! 2\cdot 4}{\diagup\!\!\!\! 2\cdot 3}\\ \\ x=\dfrac{4}{3}$

Answer 2

       x
64        =   256

(   6)x           8
(2   )    =   2

   6x           8
2       =   2

6x = 8
x = 8  (:2)
      6  (:2)

x = 4
      3
--------------------------

64 = 2.2.2.2.2.2 = 2⁶
128 = 2.2.2.2.2.2.2.2 = 2⁸