Question

3
-3
3. Solve : 8x2n – 8x2n = 63​

Answer 1

Answer:

Given, 8x

2n

3

−8x

−

2n

3

=63

⇒8x

2n

3

−

8x

2n

3

1

=63

Put x

2n

3

=t, we get

8t−

t

8

=63

⇒8t

2

−8=63t

⇒8t

2

−63t−8=0

⇒8t

2

−64t+t−8=0

⇒8t(t−8)+1(t−8)=0

⇒(8t+1)(t−8)=0

⇒t=−

8

1

,8

⇒x

2n

3

=t

⇒x=t

3

2n

For t=−

8

1

, we have

x=(−

8

1

)

3

2n

=((−

2

1

)

3

)

3

2n

x=(−

2

1

)

2n

=

2

2n

1

For t=8, we have

x=8

3

2n

=((2)

3

)

3

2n

x=2

2n

So, the values of x are

2

2n

1

and 2

2n

.

Step-by-step explanation:

hoped you liked it please Mark me as brainleist