Question 230531
Since this one is raised to the 3/4 power, you can "undo" this power by raising both sides to the 4/3 power like this:


{{{(x-2)^(3/4)= 2}}}


{{{((x-2)^(3/4))^(4/3) = 2^(4/3)}}}


{{{(x-2)^1= 2^(4/3) }}}


{{{x-2 = 2^(4/3) }}}


Last, add +2 to each side:
{{{x= 2 + 2^(4/3) }}}


This can also be written as:
{{{x= 2 + 2^1*2^(1/3)}}}
{{{x=2+2* root(3,2)}}}


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus