Question

help me answering this question please!!!!

Answer 1

Given Equation is :

| 1 - 2i| ^x = 5^x

$= \ \textgreater \ \sqrt{1^2 + (-2)^2} = 5^x$

$= \ \textgreater \ \sqrt{1 + 4} = 5^x$

$= \ \textgreater \ \sqrt{5} = 5^x$

Now,

|1 - 2i|^x :

$= \ \textgreater \ ( \sqrt{5} )^x = 5^x$

$= \ \textgreater \ (5^ \frac{1}{2} )^x = 5^x$

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

= > x/2 = x

= > 2x = x

= > 2x - x = 0

= > x = 0.



Therefore the number of non-integral solutions = 0.


Hope this helps!

Answer 2

Hi,

Please see the attached file!



Thanks