Question

If 4* - 4*-1 = 24, then find the value of x.
z.​

Answer 1

Answer:

4

x

−4

x−1

=24

or 4

x

(1−

4

1

)=24

or 4

x

4

3

=24

or 4

x

=

3

24×4

=32=2

5

or 2

2x

=2

5

or x=

2

5

or 2x=5 or (2x)

x

=(5)

5/2

=5

1

×5

1

×5

1/2

=25

5

Answer 2

Answer:

2.5 / $\frac{5}{2}$

Step-by-step explanation:

4^x-4^x-1=24

4^x-4^x × 4^-1=24

4^x (1-4^-1)=24

4^x (1-1÷4)=24

(taking LCM)

4^x (4-1÷4)=24

4^x (3÷4)=24

4^x=24×4÷3

(on solving $\frac{24}{8}$ =8)

4^x=8×4÷1

4^x=32

(2^2)^x=2^5

2^2x=2^5

Sice the bases are same we equate the powers,therefore

2x=5

x=$\frac{5}{2}$

So the answer is $\frac{5}{2}$ or 2.5