Question

find the value 2 to the power 5 x / 2 upon x is equal to 4 root 16

Answer 1

$\frac{ 2^{5x} }{2^x} = \sqrt[4]{16}$


$2^{5x - x} = 16^{ \frac{1}{4} } \\ \\ 2^{4x} = 2^{4 * \frac{1}{4} } \\ \\ 2^{4x} = 2^1$

Equal bases, powers are also equal,

4x = 1 

x =1/4 



i hope this will help you


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Answer 2

2^ 5x / 2^x=4 root 16
2^5x/2^x=16^1/4
2^5x /2^x=(2^4)^1/4
the base equal in both sides so
5x -x=4×1/4
4x=1
x=1/4
......☺I hope it will help you☺. ...
......Please let me know if you have any problems. ..