How do you find all values of x where f(x)=g(x) using maple?

Question

I'm using maple and I've been given two functions,

$$f(x)=5^x$$ $$g(x)=x^5$$ And I've been asked to use maple to find all values of x where $$f(x)=g(x)$$ but using maple. What is the way to enter this into maple properly to get the output of all x values where the above is true?

edit: I am using Maple 2016

Answer 1

kernelopts(version);

   Maple 2016.2, X86 64 LINUX, Jan 13 2017, Build ID 1194701

f:=5^x:
g:=x^5:

Student:-Calculus1:-Roots(f-g, x=-infinity .. infinity);

                     5 LambertW(-1/5 ln(5))
                  [- ----------------------, 5]
                             ln(5)

evalf(%);

                        [1.764921914, 5.]

# Alternatively,

solve( {f-g, x>-infinity, x<infinity} );

                             5 LambertW(-1/5 ln(5))
             {x = 5}, {x = - ----------------------}
                                     ln(5)

evalf([%]);

                  [{x = 5.}, {x = 1.764921915}]

# Or, more crudely
plot(f-g, x=-4..6, view=-1..1);

fsolve(f-g, x=1..3);

                           1.764921915

fsolve(f-g, x=4..6);

                           5.000000000