Finding values of implicit function of three dimension

If t and x are independent variables and u(t,x) dependent variable. how can I calculate u(t,x) at different positions of t and x for implicit function

b^{u(t,x)}*[ux/e*u(t,x)]^{vt/2}=b^{x/2}

where

b=10

v=70

ux=90

e=exp(1)

Answer 1

[Sulaymon Eshkabilov]

Using fminbnd():

b=10;
v=70;
ux=90;
e=exp(1);
EQN = @(u)(b^u*(ux/e*u)^(v/2)-b^(ux/2));
Sol = fminbnd(EQN, 2, 10)  % t=2; x=10;

Sol = 2.0000

[shathy Khan]

Thank You but

It t and x both are vectors as

nx=2; nt=3;

a=0; b=10; T=3;

x=linspace(a,b,nx+1)

t=linspace(0,T,nt+1)

u=zeros(nt+1,nx+1)

Answer 2

[Matt J]

b=10;
v=70;
ux=90;
e=exp(1);
EQN = @(t,x,u)(b.^u.*(ux./e.*u).^(v*t/2)-b.^(x/2));

fimplicit3(EQN); xlabel t; ylabel x; zlabel u(t,x)