Question

If 4^x+1-4^x=25 then what is the value of (2x)^x

Answer 1

Answer - 5

Step By StepStexplaiExplainlationExplaiExplainStepStexplaiExplainlaExplaiExplainlationExplaiExplainlati. - 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
o

Answer 2

Step-by-step explanation:

Here, 4^x-4^(x-1) =24, or

4^x-4^x/4 =24, or

4*4^x-4^x =4*24, or

3*4^x = 4*24, or

4^(x-1) = 8

4^x = 32, or

2^2x = 2^5, or

2x = 5, or

x = (5\2), or

(2x) ^x = 5^(5/2) = 25√5.

hope it helps ☺️☺️