Question

4^x-2+4^x+1=1040

Answer 1

4^x:4²+4^x.4=1040

=4^x.1/16+4^x.4=1040

=4^x.(1/6+4)=1040

=4^x.65/16=1040

=>4^x=1040:65/16

=>4^x=256

=>4^x=4⁴

vậy x =4

Answer 2

4^x-2 + 4^x+1 = 1040

=> 4^x-2 + 4^x-2 . 4³ = 1040

=> 4^x-2 . ( 1 + 4³ ) = 1040

=> 4^x-2 . 65 = 1040

=> 4^x-2 = 16

=> 4^x-2 = 4²

=> x - 2 = 2

=> x = 4

Vậy x = 4

Answer 3

\(4^{x-2}+4^{x+1}=1040\)

=> \(\frac{4^x}{4^2}+4^x.4=1040\)

=> \(4^x.\frac{1}{4^2}+4^x.4=1040\)

=> \(4^x\left(\frac{1}{16}+4\right)=1040\)

=> \(4^x.\frac{65}{16}=1040\)

=> \(4^x=256\)

=> \(4^x=4^4\)

=> x = 4