Question

The value of x in 16⁴=2⁸*x⁴

Answer 1

Step-by-step explanation:

Given, x

4

+

x

4

1

=322

Now, (x

2

+

x

2

1

)

2

=(x

4

+

x

4

1

+2)

=322+2=324

∴x

2

+

x

2

1

=18

Now, (x−

x

1

)

2

=x

2

+

x

2

1

−2=18−2=16

Therefore, x−

x

1

=4

Answer 2

Step-by-step explanation:

${16}^{4} = {2}^{8} \times {x}^{4} \\ {x}^{4} = \frac{ {16}^{4} }{ {2}^{8} } = \frac{ {2}^{16} }{ {2}^{8} } = {2}^{8} = {4}^{4} \\ x = 4$